Unless otherwise indicated in the announcement, the weekly seminars
take place on
Thursdays at 3.30 p.m. in the
Lecture room on the 1st
floor of the DIAS building at
10 Burlington Road
Please visit also the STP event webpage for information about further seminars in conferences and meetings.
The Maths Department at Trinity College Dublin also has a list of forthcoming seminars here.
The Computational Applied Mathematics Seminars in TCD has its list of forthcoming seminars here.
Seminars during the last years: 2006.
Next Seminar
Tuesday Dec 01, at 3.30 p.m.
Title: "Noncommutative Black Holes and Quantum Structure of Spacetime"
Prof. Kumar Gupta, Saha Institute, Kolkota
Upcoming Seminars
Wednesday Dec 02, at 4:30 p.m.
Title: "Holographic Spectral Functions in Metallic AdS/CFT"
Dr. Jonathan Shock, Santiago
Abstract:
We study the holographic D3/D7 setup dual to N=4 supersymmetric
Yang-Mills with quenched fundamental matter. We extend the previous
analyses of conductivity and photoproduction to the case where there is a
finite electric field. Due to the electric field a special region in the
D7-brane geometry, labelled the singular shell, appears generically, and
the computation of correlators involves a careful study of the indicial
exponents both at this singular region and at the horizon. We show that
there is a unique choice consistent with the known expression for the
electrical conductivity found by Karch and O'Bannon. We explore the
parameter space spanned by the quark mass, the baryon density and the
electric field. We find a region where the conductivity and
photoproduction change rapidly and trace this behavior to competing
effects which manifest themselves as a crossover behavior in the probe
brane embeddings.
Friday Dec 04, at 3.30 p.m.
Title: "Cohomology of Lie algebras of vector fields and its applications"
Dr. Anton Khoroshkin, ETH Zurich, Dept. of Mathematics
Abstract:
I will discuss some results on the cohomology of the Lie algebra of
formal vector fields on the plane and some related Lie algebras, and
applications of these results to formal differential geometry. If time
allows, I will also explain how to use these results to construct
central extensions of a 2-dimensional generalization of the Witt
algebra.
Tuesday Dec 10, at 3.30 p.m.
Title: "Holographic predictions and lattice results for a hot, colorful
plasma"
Dr. Marco Panero, ETH Zurich, Switzerland
Abstract:
The experimental evidence gathered in high-energy collisions of
heavy ions at SPS and RHIC has revealed that, at high temperature,
hadronic matter undergoes a qualitative change to a new state,
characterized by surprising features making it a nearly ideal fluid. Some
properties of this `strongly interacting quark-gluon plasma' can be
predicted numerically by computer simulations of lattice QCD, but a full
analytical description based on the first principles of QCD has proven
elusive. In recent years, however, new analytical insights into the
dynamics of strongly interacting systems came from String Theory, with
gauge/gravity techniques based on the AdS/CFT correspondence conjectured
by Maldacena, and involving the mathematical simplifications that occur
when the rank of the gauge group is taken to infinity. In this talk, after
introducing the physical problem of the QCD plasma and briefly discussing
the lattice formulation for finite-temperature QCD studies, I shall
present the results of my recent simulations of the equation of state in
SU(N) gauge theories with N = 3, 4, 5, 6 and 8 colors, and their
extrapolation to the limit for N going to infinity. The results for the
different gauge groups reveal that the equilibrium thermodynamic
observables, normalized according to the number of gluons, are weakly
dependent on N (the `physical case' N = 3 being already very close to the
large-N limit), and can be successfully described by holographic
gauge/gravity models. The implications of these findings for a potentially
realistic stringy description of the QCD plasma, as well as some open
problems for future research, will be pointed out.
This talk is based on arXiv:0907.3719 [hep-lat].
Recent Past Seminars
Thursday Oct 29, at 3.30 p.m.
Title: "Calabi-Yau Metrics for Dummies"
Matthew Headrick, Brandeis
Wednesday Oct 28, at 3.30 p.m.
Title: "Holographic QCD and Hadronization"
Prof. Nick Evans,
School of Physics & Astronomy
University of Southampton
Tuesday Oct 06, at 3.30 p.m.
Title: "Adding Flavor to AdS4/CFT3"
Dr. Andrew O'Bannon, Max Planck Institute Fur Physics, Munich
Abstract:
Gauge-gravity duality is an extremely useful tool for studying
strongly-coupled gauge theories, and has many applications to real-world
systems, such as the quark-gluon plasma and quantum critical points. Most
gauge-gravity dualities involve a gauge theory with fields only in the
adjoint representation of the gauge group. In many strongly-coupled
systems, however, such as the quark-gluon plamsa, fields in the
fundamental representation of the gauge group, "flavor fields," are
crucially important. For (3+1)-dimensional gauge theories with gravity
duals (AdS5/CFT4), the supergravity description of flavor fields is
well-understood: flavor fields appear in supergravity as probe D-branes in
AdS5. The story for (2+1)-dimensional gauge theories (AdS4/CFT3) is much
less developed. Indeed, for supergravity on AdS4 x S7, the dual
(2+1)-dimensional field theory (without flavor) was only recently
discovered. In this talk I will describe how to add flavor to this theory.
In particular, I will present a general recipe to determine the field
theory, and in particular the couplings of the flavor fields, given a
probe D-brane in AdS4.
Thursday Sep 24, at 3.30 p.m.
Title: "Chainmail: The geometry of Topological Lattice Models"
Steven H. Simon, Oxford
Friday Aug 07, at 3.30 p.m.
Title: "A Matrix Model Proposal for the Friedmann-Robertson-Walker Universe"
Dr. Rene Meyer , Max Planck Institute Fur Physics, Munich
Abstract:
I will outline the derivation of a bosonic matrix model valid in the
Friedmann-Robertson-Walker universe, based on several
phenomenological assumptions. I will give a semiclassical argument
for the emergence of space-time during the expansion of the
universe, starting from the big bang singularity. This talk is based
on the paper hep-th/0705.1586.
Thursday May 28, at 3.30 p.m.
Title: "Decomposition formulas and Virasoro constraints in matrix models".
Dr. Alexander Alexandrov, IHES, Bures-sur-Yvette, France
Abstract:
This is a brief review of recent progress in constructing solutions to
the matrix model
Virasoro equations. Various branches of matrix model partition
function can be represented as intertwined products of universal
elementary constituents: Gaussian partition functions Z_G and
Kontsevich tau-functions Z_K. Technically, decomposition formulas are
related to representation theory of algebras of Krichever-Novikov type
on families of spectral curves with additional Seiberg-Witten
structure. Representations of these algebras are encoded in terms of
"the global partition functions". They interpolate between Z_G and Z_K
associated with different singularities on spectral Riemann surfaces.
Thursday May 21, at 3.30 p.m.
Title: "Possible large-N fixed points and naturalness for O(N) scalar fields"
Dr. Govind Krishnaswami,
Durham
Abstract:
We try to use scale-invariance and the large-N limit to find a
non-trivial 4d O(N) scalar field model with controlled UV behavior and
naturally light scalar excitations. The principle is to fix
interactions by requiring the effective action for space-time
dependent background fields to be finite and scale-invariant when
regulators are removed. We find a line of non-trivial UV fixed-points
in the large-N limit, parameterized by a dimensionless coupling. They
reduce to classical lambda phi^4 theory when hbar vanishes. For hbar
>0, neither action nor measure is scale invariant, but the effective
action is. Scale invariance makes it natural to set a mass deformation
to zero. The model has phases where O(N) invariance is unbroken or
spontaneously broken. Masses of the lightest excitations above the
unbroken vacuum are found. We derive a non-linear equation for
oscillations about the broken vacuum. The interaction potential is
shown to have a locality property at large-N. In 3d, our construction
reduces to the line of large-N fixed points in |phi|^6 theory.
Wednesday May 20, at 3.30 p.m.
Title: "Holographic superconductivity -spontaeous symmetry breaking in AdS/CFT"
Dr. Mathias Kaminski,
Universidad Autonoma de Madrid, Madrid, Spain
Abstract:
Recently the gauge/gravity duality has been successfully used in
bottom-up approaches in order to model effects known from strongly
correlated electron systems, such as the (quantum) Hall effect and
superconductivity/superfluidity. In this talk I will present one of
these bottom-up approaches with a condensing scalar and comment on
its hydrodynamic modes. Nevertheless, my main focus will be on a top-
down approach showing that in a strongly-coupled thermal field
theory with flavor at high isospin density a new phase emerges. This
new phase displays signatures of superconductivity such as an
infinite dc conductivity and an energy gap. The advantage of the top-
down approach is that it allows to give a direct identification of,
and a gravity explanation for the behavior of the fundamental
degrees of freedom in the field theory at strong coupling. In
particular we identify the Cooper pairs and the pairing mechanism.
We will review these recent predictions and the basic concepts
needed to derive them.
Thursday April 30, at 3.30 p.m.
Title: "Non-Abelian k-Vortex Dynamics in N=1* theory and its Gravity Dual"
Dr. Roberto Auzzi,
Swansea
Abstract:
We study magnetic flux tubes in the Higgs vacuum of the N=1^* mass
deformation of SU(N_c), N=4 SYM and its large N_c string dual, the
Polchinski-Strassler geometry. Choosing equal masses for the three adjoint
chiral multiplets, for all N_c we identify a "colour-flavour locked"
symmetry, SO(3)_{C+F} which leaves the Higgs vacuum invariant. At weak
coupling, we find explicit non-Abelian k-vortex solutions carrying a
Z_{N_c}-valued magnetic flux, with winding, 0 < k < N_c. These k-strings
spontaneously break SO(3)_{C+F} to U(1)_{C+F} resulting in an S^2 moduli
space of solutions. The world-sheet sigma model is a nonsupersymmetric
CP^1 model with a theta angle \theta_{1+1} = k(N_c-k)\theta_{3+1} where
\theta_{3+1} is the Yang-Mills vacuum angle. We find numerically that
k-vortex tensions follow the Casimir scaling law T_k \propto k (N_c-k) for
large N_c. In the large N_c IIB string dual, the SO(3)_{C+F} symmetry is
manifest in the geometry interpolating between AdS_5 x S^5 and the
interior metric due to a single D5-brane carrying D3-brane charge. We
identify candidate k-vortices as expanded probe D3-branes formed from a
collection of k D-strings. The resulting k-vortex tension exhibits precise
Casimir scaling, and the effective world-sheet theta angle matches the
semiclassical result. S-duality maps the Higgs to the confining phase so
that confining string tensions at strong 't Hooft coupling also exhibit
Casimir scaling in N=1^* theory in the large N_c limit.
Thursday April 23, at 3.30 p.m.
Title: "Wilsonian Renormalization of Noncommutative Scalar Field Theory"
Dr. Oliver J. Rosten,
Sussex University
Abstract:
Drawing on analogies with the commutative case, the Wilsonian picture
of renormalization is developed for noncommutative scalar field theory.
The dimensionful noncommutativity parameter, theta, induces several new
features. Fixed-points are replaced by `floating-points' (actions which
are scale independent only up to appearances of theta
written in cutoff units). Furthermore, it is found that one must use
correctly normalized operators, with respect to a new scalar product, to
define the right notion of relevance and irrelevance.
Thursday March 19, at 3.30 p.m.
Title: "Holographic Chiral Dynamics in external fields"
Dr. Veselin Filev,
DIAS
Abstract:
I focus on the effective action of the pseudo-Goldstone modes for Dp/Dq
systems in external magnetic field and study both numerically and
analytically the corresponding dispersion relations. In the D3/D7 case
one observes GMOR relation, while the D3/D5 system exhibits dispersion
relation characteristic of magnon spin waves in ferromagnetic. I briefly
discuss some universal properties of the spontaneous symmetry breaking
mechanism in Dp/Dq systems.
Monday March 2, at 12.00
Title: Lagrangians for Multiple M2-branes
Neil Lambert
Department of Mathematics, King's College London
Thursday January 29, at 3.30 p.m.
Title: Aspects of Gauge-Strings Duality
Prof. Carlos Nunez
Swansea University
Abstract:
I will discuss some recent advances on the duality between gauge field
theories and strings.
Thursday November 20, at 3.30 p.m. at Third Floor Discussion Room- Note unusual room.
Title: Holographic Spectral Functions at Finite Baryon Density
Dr. Jonathan Shock, IGFAE Spain
Abstract:
Using the AdS/CFT correspondence, we compute the spectral functions of
thermal super Yang Mills at large N_c coupled to a small number of
flavours of fundamental matter, in the presence of a nonzero baryon
density. The holographic dual of such a theory involves the addition
of probe D7-branes with a background worldvolume gauge field switched
on, embedded in the geometry of a stack of black D3-branes. We perform
the analysis in the vector and scalar channels which become coupled
for nonzero values of the spatial momentum and baryon density. In
addition, we obtain the effect of the presence of net baryon charge on
the photon production. We also extract the conductivity and find
perfect agreement with the results derived in a macroscopic setup.
Tuesday November 4, at 4.30 p.m. - Note changed
time. Title: Collapse and revival of entanglement of two interacting
qubits
Dr. Vladimir S.
Malinovsky,
MagiQ Technologies, Inc., New York
Abstract:
A new method of entangled states preparation of
two-qubit systems is proposed. The method combines the techniques of
coherent control by manipulation of the relative phase between pulses, and
adiabatic control using time-delayed pulse sequences. In this work we
exploit the sensitivity of population dynamics to the relative phase of
the fields in order to control entanglement. The interplay between
adiabatic partially time-delayed pulse sequences and phase control allow
to prepare any type of entangled state in a simple and robust manner. We
show that the population and entanglement exhibits collapses and full
revivals when the initial distribution of phonons is a coherent state. A
scheme to generate phase-controlled two-qubit gates based on the effect of
full revivals is proposed.
Thursday, 18 September 2008, at 3.30 p.m.
Title: Post-Selection Technique for
Permutation-Invariant Quantum Channels
Matthias Christandl,
Cambridge Center for Quantum Computation
Abstract:
We propose a general method for studying properties of
quantum channels acting on an n-partite system, whose action is
invariant under permutations of the subsystems. Our main result is
that, in order to prove that a certain property holds for any
arbitrary input, it is sufficient to consider the special case
where the input is a particular de Finetti-type state, i.e., a
state which consists of n identical and independent copies of an
(unknown) state on a single subsystem.
Our method can be applied to the analysis of information-theoretic
problems. For example, in quantum cryptography, we get a simple
proof for the fact that security of a discrete-variable quantum
key distribution protocol against collective attacks implies
security of the protocol against the most general attacks. The
resulting security bounds are tighter than previously known bounds
obtained by proofs relying on the exponential de Finetti theorem.
We note that our results can be generalised to quantum channels
that commute with the action of an arbitrary finite or compact
group.
Thursday, 21 August 2008, at 3.30 p.m.
Title: Measurement-Only topological
Quantum Computation (Slides)
Dr. Parsa Bonderson,
Microsoft Station Q
Abstract:
The topological approach to quantum computing derives intrinsic
fault-tolerance by encoding qubits in the non-local state spaces of
non-Abelian anyons. The original prescription required topological charge
measurement for qubit readout, and used braiding exchanges of anyons to
execute computational gates. We present an anyonic analog of quantum state
teleportation, and use it to show how a series of topological charge
measurements may replace the physical transportation of computational
anyons in the implementation of computational gates.
Tuesday, 29 July 2008, at 3.30 p.m.
Systematic method to solve operator quantum field theories
Wally Greenberg
(University of Maryland)
Abstract:
This will be an informal talk.
Tuesday, 24 June 2008, at 11.00 a.m.
Bethe ansatz and Schubert calculus
Vitaly Tarasov
(Steklov Institute of Mathematics, Indiana University-Purdue University
Indianapolis)
Abstract:
I will discuss the relation between the algebraic Bethe ansatz for quantum
integrable models and Schubert calculus in algebraic geometry discovered in
the last five years. This relation turns out to be important and fruitful in
both directions. The remarkable consequence is the completeness of the Bethe
ansatz for the Gaudin model associated with the Lie algebra $gl_N$ and for
the XXX spin-1/2 Heisenberg model.
Thursday, 12 June 2008, at 3.30 p.m.
Towards standard model in Moyal space time
T. R. Govindarajan
(Institute of Mathematical Sciences Chennai, India)
Abstract:
Gauge theories on Moyal (\theta_{\mu,\nu}) space time are
introduced preserving twisted Poincare invariance. Spontaneous
symmetry breakdown and issues in Higgs_{\theta} mechanism are
exposed. Attempts towards standard model_{\theta} are pointed out.
Thursday, 5 June 2008, at 3.30 p.m.
Noncommutative Gravity and Fuzzy Schwarzschild Solution
Peter Schupp
(Jacobs University Bremen)
Abstract:
At length scales where both gravitational and quantum effects are
important, the classical picture of smooth commutative spacetime should
be replaced by some kind of quantum geometry. Motivated by this idea
much research has been devoted to the study of quantum field theory on
noncommutative spacetimes. In recent years one focus of research on
non-commutative spaces has started shift to gravity, i.e. back to the
motivating origins. In the talk we discuss the formulation of general
relativity on noncommutative spacetime and explore the possibility of
exact solutions. A fuzzy Schwarzschild-type solution is found with
a discrete "quantum" spacetime that quite naturally exhibits holographic
behavior.
Thursday, 29 May 2008, at 3.30 p.m.
Holography and Quasi-Normal Modes of Black Holes
Kumar Gupta
(Saha Institute of Nuclear Physics, Kolkata, India)
Abstract:
The analysis of quasi-normal modes of black holes provides a tool to
probe the underlying geometry. In this talk we shall explore the
connection between the quasi-normal modes and holography. We shall show
that the quasi-normal modes of the BTZ black hole follows from the
Sullivan's theorem, which encodes a precise mathematical statement for
holography for the BTZ. A possible route towards non-commutative
holography would also be explored.
Thursday, 22 May 2008, at 3.30 p.m.
Topological Entanglement Entropy from the Holographic Partition Function
Paul Fendley
(University of Virginia, Charlottesville / Oxford)
Abstract:
I explain how the entanglement entropy of both the gapped bulk
excitations and the gapless edge modes in a 2+1 dimensional topological
phase can be encoded in a single partition function. This partition
function is holographic because it can be expressed entirely in terms of
the conformal field theory describing the edge modes. Examples include
abelian and non-abelian fractional quantum Hall states, and p+ip
superconductors. Including a point contact allows tunneling between two
points on the edge, causing thermodynamic entropy to be lost with
decreasing temperature. Such a perturbation effectively breaks the
system in two, and the thermodynamic entropy loss is the same as that of
the edge entanglement entropy. The non-integer `ground state degeneracy'
obtained in 1+1-dimensional quantum impurity problems then has a nice
interpretation: its logarithm is a 2+1-dimensional topological
entanglement entropy.
Thursday, 15 May 2008, at 3.30 p.m.
Collective states of interacting anyons: Things golden
Simon Trebst
(Microsoft Research)
Abstract:
Topological quantum liquids in two dimensions such as the fractional
quantum Hall states harbor exotic quasiparticles which due to their
unusual exchange statistics are referred to as anyons. In this talk I
will discuss the rich physics arising in one-dimensional models of
interacting anyons, and highlight some of our results in the context of
both two-dimensional classical systems and one-dimensional quantum spin
systems.
In particular, I will introduce generalizations of quantum spin
Hamiltonians to anyonic degrees of freedom, such as the Heisenberg model
or the Majumdar-Ghosh Hamiltonian. For chains of interacting Fibonacci
anyons the energetic competition of two- and three-anyon interactions
gives rise to a rich phase diagram with multiple critical and gapped
phases. For the critical phases and their endpoints I will use numerical
results to establish descriptions in terms of two-dimensional conformal
field theory, and shortly discuss exact analytical results. I will then
highlight the role of an inherent topological symmetry in protecting the
critical phases. Finally, I will address how some of these findings
generalize to other species of non-Abelian anyons.
Thursday, 8 May 2008, at 3.30 p.m.
Identical particles in kappa-deformed quantum field theory
Charles Young
(Durham)
Abstract:
There exists a family of deformations of Minkowski spacetime, and its
Poincare symmetries, parameterized by a mass-scale kappa. Understanding
kappa-deformed quantum field theory poses an interesting challenge. I will
discuss some recent work on one aspect of the problem: defining
particle-exchange, and hence identical particles, in a kappa-covariant
fashion.
Wednesday, 23 April 2008, at 7.30 p.m.
John Lewis Lecture Series organised jointly by HMI & DIAS.
With generous donation from Raymond Russell and Corvil Networks
Cryogenic Turbulence
K.R. Sreenivasan
(ICTP, Trieste)
Abstract:
SUPERFLUID LIQUID HELIUM exhibits quantum mechanical behaviour on a
laboratory scale; like the energy levels of an atom, the angular
momentum of vortices in a superfluid is quantized. This gives turbulence
in liquid helium some strange particle-like behaviour and this quantized
turbulence is very interesting, not least as a window into classical
turbulence itself.
Location: Schroedinger LT, Fitzgerald Bldg, TCD
Thursday, 17 April 2008, at 3.30 p.m.
Black hole near-horizon geometries
James Lucietti
(Durham)
Abstract:
Extremal (especially BPS) black holes are of special importance
in string theory and AdS/CFT. Their near-horizon geometries provide a
precise tool for investigating such black holes. After reviewing certain
aspects of higher dimensional black holes, I will discuss near-horizon
geometries from a general point of view. I will then describe some
specific applications of these ideas which will include: a classification
of near-horizon geometries of asymptotically AdS(5) supersymmetric black
holes with two rotational symmetries (of relevance to AdS/CFT), symmetry
enhancement of generic near-horizon geometries in D=4,5 (of relevance to
the attractor mechanism), near-horizon geometries in D>5 and finally some
open problems.
Thursday, 27 March 2008, at 3.30 p.m.
General solutions of the Wess-Zumino consistency condition for the Weyl anomalies
Nicolas Boulanger
(Scuola Normale Superiore)
Abstract:
The general solutions of the Wess-Zumino consistency condition for the conformal
(or Weyl, or trace) anomalies are derived. The solutions are obtained, in arbitrary
dimensions, by explicitly computing the cohomology of the corresponding
Becchi-Rouet-Stora-Tyutin differential in the space of integrated local functions
at ghost number unity. This provides a purely algebraic, regularization-independent
classification of the Weyl anomalies in arbitrary dimensions.
The so-called type-A anomaly is shown to satisfy a non-trivial descent of equations,
similarly to the non-Abelian chiral anomaly in Yang-Mills theory.
Wednesday, 26 March 2008, at 3.30 p.m.
Multi-component fractional quantum Hall effect
Nicolas Regnault
(Ecole Normale Superieure)
Abstract:
Role of spin-like internal degrees of freedom in the fractional
quantum Hall regime has been intensively studied. This question has
been addressed both for the "real" spin of electrons or the layer
index in the case of bilayer systems. Recently, new physical systems
such as graphene, have motivated a deeper look at richer internal
degrees of freedom.
We will present the different strategies that
have been developed to study this new cases. We will mainly focus on
the generalized Halperin wave functions since there are a straightforward
generalization of the Laughlin state. Even within this simple picture,
we will show larger symmetry groups open new perspectives in the fractional
quantum Hall physics.
Thursday, 28 February 2008, at 3.30 p.m.
Non-abelian quantum Hall states in the thin torus limit
Eddy Ardonne
(Nordita)
Abstract:
After giving an overview of some basics about the quantum Hall effect, I will motivate the study of
so-called non-abelian
quantum Hall states, via some (recent) experimental results, and the
possible application of such states to quantum computation. The non-abelian statistics of the quantum
Hall states we consider can be explained in an elementary fashion in an exactly solvable limit,
namely the thin-torus limit. In this limit, the excitation are domain walls between various
`ground states', and these domain walls give rise to the non-abelian statistics in a simple way.
I will briefly discuss the connection the domain walls and conformal field theory
(note that no knowledge of conformal field theory will be assumed).
Friday, 22 February 2008, at 3.30 p.m.
Fuzzy de Sitter Space-Times via Coherent States Quantization
Jean Pierre Gazeau
(Paris 7)
Abstract:
A construction of the 2d and 4d fuzzy de Sitter hyperboloids is
carried out by using a (vector) coherent state quantization. We get a
natural discretization of the dS ``time " axis based on the spectrum
of Casimir operators of the respective maximal compact su bgroups SO
(2) and SO(4) of the de Sitter groups SO(1,2) and SO(1,4). The
continuous limit at infinite spins is examined.
Thursday, 7 February 2008, at 3.30 p.m.
Scaling laws in the cosmic structure and
renormalization group
Jose Gaite
(Instituto de Microgravedad, Univ. Politecnica de Madrid)
Abstract:
The large-scale structure of matter appears to be fractal over a range of
scales. This is evidenced by observations of the distribution of galaxies and
by numerical simulations of dark matter models. In addition, the theoretical
description of cosmic structure formation with the methods of non-equilibrium
statistical mechanics leads to scaling laws and, in particular, to the
dynamical scaling hypothesis. We review the Zeldovich approximation and the
adhesion model, which predict the observed structure (the "cosmic web"). The
adhesion model can be studied with the methods of perturbation theory and the
renormalization group. However, these methods are only successful in one
dimension, whereas the three-dimensional case requires non-perturbative
methods. Therefore, we introduce coarse-graining approaches and, in
particular, the exact renormalization group, which are of general application
in the dynamics of structure formation.
Monday, 17 December 2007, at 3.30 p.m.
How paper folds: bending with local geometrical constraints
Jemal Guven
(University of Mexico)
Abstract:
A variational framework is introduced to describe how a
surface bends when it is subject to local constraints on its
geometry. This framework is applied to describe the patterns
observed in a folded sheet of paper. The unstretchability
of paper implies a constraint on the surface metric; bending
is penalized by an energy quadratic in mean curvature.
The local Lagrange multipliers enforcing the constraint are
identified with a conserved tangential stress that couples
to the extrinsic curvature of the sheet. The framework is
illustrated by examining the deformation
of a flat sheet into a generalized cone.
Thursday, 6 December 2007, at 3.30 p.m.
AdS/CFT with flavour in electric and magnetic backgrounds
Jon Shock
(Santiago de Compostela)
Abstract:
Thursday, 29 November 2007, at 3.30 p.m.
On the spectrum of the Sinh-Gordon model in finite volume
Joerg Teschner
(DESY)
Abstract:
We will describe our recent work, partially joint with
A. Bytsko on the spectrum of the Sinh-Gordon model.
It is based on an integrable lattice regularization
which has a quantum group structure related to the
modular double. Algebraic Bethe ansatz fails in this
case, but the construction of the Q-operator combined
with the Separation of Variables Method lead to a
complete characterization of the spectrum in terms
of a certain set of solution to the Baxter equation.
Building on these results we will describe how to
reformulate this description of the spectrum in terms
of nonlinear integral equations and how to take the
continuum limit. A conjecture is formulated concerning
the uniqueness of the solutions to the resulting integral
equations. This conjecture passes nontrivial
checks in the semiclassical, the infrared and the
ultraviolet limits, respectively. We observe in particular
highly nontrivial relations to Liouville theory.
Thursday, 23 November 2007, at 3.30 p.m.
Branes, Anti-Branes and Brauer Algebra in
Gauge-Gravity duality
Yusuke Kimura
(Queen Mary College)
Abstract:
I will propose gauge theory operators built using a complex
Matrix scalar which are dual to brane-anti-brane systems in
AdS_5 \times S^5, in the zero coupling limit of the dual
Yang-Mills. The branes involved are half-BPS giant gravitons.
The proposed operators dual to giant-anti-giant configurations
satisfy the appropriate orthogonality properties.Projection
operators in Brauer algebras are used to construct the relevant
multi-trace Matrix operators. The reference is arXiv:0709.2158,
which is based on work with S. Ramgoolam (QMUL).
Tuesday, 16 October 2007, at 3.30 p.m.
Graphene with geometrically induced vorticity
Jiannis Pachos
(Leeds U.)
Abstract:
At half filling, the electronic structure of graphene can be modeled by
a pair of two-dimensional Weyl fermions. The introduction of curvature
couples these fermions to a chiral gauge field. The further
introduction of a Kekule structure couples them to a mass-generating
Higgs field. In the presence of the geometrically induced gauge field,
an everywhere-real Kekule modulation of the hopping matrix elements
can correspond to a non-real Higgs field with non-trivial vorticity.
For the case of fullerenes, that is spherical configurations of
graphene, an index theorem allows for the existence of six low-lying
modes. The related fresh reference is arXiv:0710.0858.
Friday, 12 October 2007, at 3.30 p.m.
Renormalized Perturbation Theory : A new approach to gravitational clustering
Martin Crocce
(Institut de Ciencies de l'Espai)
Abstract:
I will present a new approach to study the nonlinear evolution in the
growth of large-scale structure by following the dynamics of
gravitational clustering as it builds up in time. This approach,
based on Feynman diagrammatic and re-summation techniques, solves
fundamental problems in the description of density perturbations and
provides a powerful technique to model accurately their transition to
the nonlinear regime. I will show concrete practical applications at
the two-point statistics level (e.g. Baryon Acoustic Oscillations),
as well as sketch extensions to higher order ones.
Thursday, 27 September 2007, at 3.30 p.m.
Aspects of D-instantons in Intersecting D-brane Models
Nikolas Akerblom
(Max-Planck-Institut fuer Physik, Muenchen)
Abstract:
Recent times have seen embiggened interest in D-instanton effects in
intersecting D-brane models. In this talk we highlight two particular
results in this direction. First, we discuss the derivation of the
Affleck-Dine-Seiberg superpotential from E2-branes. Second, we consider
the effect such euclidean branes might have on holomorphic quantities
in the low-energy effective action, such as the gauge kinetic function.
Tuesday, 25 September 2007, at 3.30 p.m.
Emergence of the Second Generation in Particle Physics
Kazuhiko Nishijima
(Helsinki)
Tuesday, 11 September 2007, at 7.00 p.m.
Positivity of Three Manifold Pairings
Michael Freedman
(Microsoft Research, Station Q, Santa Barbara)
Abstract:
Since Milnor found the exotic 7-spheres in 1956, gluing has played a key role in topology. In this talk, I will consider gluing of superpositions of manifolds. It turns out that there is a dramatic difference according to dimension. The natural pairings induced by gluing have null vectors when the manifold dimension is 4 or higher, in contrast the pairings are positive when the dimension is 3 or lower. I will explain the implications for quantum mechanics.
Thursday, 6 September 2007, at 4.00 p.m.
The Unexpected Physics of Modern Wireless Communication: Replicas,
Diffusons, and Supersymmetry for Fun and Profit
Steve Simon
(Alcatel-Lucent, Bell Labs)
Abstract:
In the modern information era, where the demand for higher bit-rate seems to be increasing without bound, it is essential to understand the physical limits on communications. I will start by reviewing the concept of a Shannon limit of how many bits per second can be conveyed from a transmitter to a receiver. We then discover that in a disordered environment (in a city, for example) it becomes essential to understand wave interference in order to find this Shannon limit for modern communication systems. It becomes advantageous to make an analogy between radio waves in cities and electron waves in disordered metals. Using our understanding of mesoscopics we can understand more about howinformation capacity is limited. We find the question of information can be reduced to a random matrix problem which is attacked with traditional condensed matter field theory methods. Finally we bring the story full-circle by deducing new insights about mesoscopics from our results on wireless communications.
Wednesday, 27 June 2007, at 3.30 p.m.
Quasi-hermitian Liouville Theory
Thomas Curtright
(University of Miami)
Abstract:
I will briefly discuss properties of quasi-hermitian (PT-symmetric) theories in
the context of a simple exactly solvable example, imaginary Liouville theory. I
will use a deformation quantization approach, i.e. QM in phase space. Then I
will discuss the field theory extension of this model, of interest in string theory.
Thursday, 03 May 2007, at 4.30 p.m.
Little Hagedorn Holography
Eliezer Rabinovici
(The Hebrew University)
Abstract:
We discuss the issue of a Hagedorn spectrum in Little String Theory.
Wednesday, 02 May 2007, at 3.30 p.m.
Malliavin measures, SLE and CFT
Yuri Suhov
(University of Cambridge)
Abstract:
I will review a recent paper by Kontsevich and myself under the same title.
See
math-ph/0609056.
Thursday, 19 April 2007, at 3.30 p.m.
Twistors and Integrability of Super Yang-Mills Theories
Martin Wolf
(Imperial College, London)
Abstract:
In this talk, I will discuss certain aspects of integrability in supersymmetric Yang-Mills (SYM) theories. I first give a brief review about twistor theory and then discuss the construction of nonlocal symmetry algebras in self-dual and non-self-dual SYM theories. In particular, in the case of the maximally SYM theory, I describe the construction of an infinite sequence of flows on the solution space of the N=4 SYM equations based on a generalization of the supertwistor correspondence. The N=4 SYM equations are embedded into the infinite system of the hierarchy equations and in addition this SYM hierarchy is associated with an infinite set of graded symmetries recursively generated from supertranslations.
Thursday, 29 March 2007, at 3.30 p.m.
Affine Twists
Maxim Samsonov
(Dublin Institute for Advanced Studies)
Abstract:
I consider the problem of explicit construction of
affine Drinfeld twists for U_q(sl[u]) and their Yangian analogues.
The method itself is based on proposing an ansatz formula for
affine twists in the form close to coboundary twist.
It can be shown that many bialgebraic structures on polynomial current
algebras corresponding to the solutions of the rational Yang-Baxter
equation allow quantisation and can be treated as quasi-classical limits
of the Hopf algebra structures on the twist-deformed quantum affine
enveloping algebra.
Thursday, 15 March 2007, at 3.30 p.m.
Entropy Bound from Discrete Quantum Gravity
David Rideout
(Imperial College, London)
Abstract:
The various entropy bounds that exist in the literature suggest that
spacetime is fundamentally discrete, and hint at an underlying relationship
between geometry and ``information''. The foundation of this relationship is
yet to be uncovered, but should manifest itself in a theory of quantum
gravity. We present a measure for the maximal entropy of spherically
symmetric spacelike regions within the causal set approach to quantum
gravity. In terms of the proposal, a bound for the entropy contained in this
region can be derived from a counting of potential ``degrees of freedom''
associated to the Cauchy horizon of its future domain of dependence. For
different spherically symmetric spacelike regions in Minkowski spacetime of
arbitrary dimension, we show that this proposal leads, in the continuum
approximation, to Susskind's well-known spherical entropy bound.
PDF-File
Thursday, 8 March 2007, at 3.30 p.m.
RHIC and AdS/CFT
Matthias Ihl
(University of Texas at Austin)
Abstract:
I will try to describe some of the experimental evidence that leads us to believe that the fireball produced in Au-Au colissions at RHIC is a rapidly thermalizing, strongly-coupled Quark-Gluon-Plasma (sQGP).
I will also motivate why and to what extent AdS/CFT can be hoped to
provide a theoretical tool to study the sQGP.
To this end, some progress has been made in N=1 SQCD-like theories, i.e.
theories with dynamical quarks.
PDF-File
Thursday, 1 March 2007, at 3.30 p.m.
From self-dual gravity to dual gravity with a cosmological constant
Bernard Julia
(Ecole Normale Superieure, Paris)
Thursday, 22 February 2007, at 3.30 p.m.
Towards a microstate counting of susy black holes in AdS(5)
Nemani Suryanarayana
(Imperial College, London)
Abstract:
Accounting for the entropy of the supersymmetric black holes in AdS(5) remains an open problem. In this talk I will describe a (promising) new approach to address this problem which is to count an appropriate set of BPS D-branes in the near horizon geometry of the black hole.
Thursday, 15 February 2007, at 3.30 p.m.
Quivers, Syzygies and Plethystics
Yang-Hui He
(Oxford)
Abstract:
We study gauge theories which arise from D-branes on Calabi-Yau
spaces and advocate a
``Plethystic Programme'' which provides a simple bridge between (1) the
defining equation of the Calabi-Yau, (2) the generating function of
single-trace BPS operators and (3) the generating function of
multi-trace operators. Mathematically, fascinating and intricate
inter-relations between quiver theories, algebraic geometry and
combinatorics exhibit themselves in the form of plethystics and syzygies.
PDF-File
Thursday, 8 February 2007, at 3.30 p.m.
Perturbative Anti-Brane Potentials in Heterotic M-theory
James Gray
(Institut d'Astrophysique de Paris)
Abstract:
I will discuss the derivation of the perturbative four-dimensional
effective theory describing heterotic M-theory with branes and anti-branes
in the bulk space. The back-reaction of both the branes and anti-branes
will be explicitly included.
To first order in the heterotic
strong-coupling expansion, we will find that the forces on branes and
anti-branes vanish and that the 'KKLT' procedure of simply adding to the
supersymmetric theory the probe approximation to the energy density of the
anti-brane reproduces the correct potential.
However, there are
additional non-supersymmetric corrections to the gauge-kinetic functions
and matter terms. The new correction to the gauge kinetic functions is
important in a discussion of moduli stabilization. At second order in the
strong-coupling expansion, we will find that the forces on the branes and
anti-branes become non-vanishing. These forces are not precisely in the
naive form that one may have anticipated and, being second order in the
small parameter of the strong-coupling expansion, they are relatively
weak. This suggests that moduli stabilization in heterotic models with
anti-branes is achievable
Thursday, 1 February 2007, at 3.30 p.m.
Ward Identities for Invariant Group Integrals
Sebastian Uhlmann
(Universität Jena)
Abstract:
We outline several exemplary applications and classes of invariant
group integrals in lattice gauge theory and derive two types of Ward
identities for the generating functions for invariant integrals of monomials
of the fundamental characters for arbitrary simple compact Lie groups. The
results are applied to the groups SU(3), Spin(5) and G_2 of rank 2 as well as
SU(4).
Tuesday, 30 January 2007, at 12.15 p.m.
Recent developments in the landscape of string theory
Michael Douglas
(Rutgers University)
Thursday, 25 January 2007, at 3.30 p.m.
Localization for Yang-Mills on the fuzzy sphere
Harold Steinacker
(Universität Wien)
Abstract:
We present a new model for Yang-Mills theory on the fuzzy sphere in which the configuration space of gauge fields is given by a compact
symplectic space. This allows to apply the technique of nonabelian localization resp. equivariant cohomology to compute the partition function, which is
given exactly by a sum of saddle-point contributions. We evaluate these contributions explicitly for the generic case.
The known result for 2D Yang-Mills on the sphere is recovered in the commutative limit.
Thursday, 18 January 2007, at 3.30 p.m.
Superconducting vortices in gauge field theory
Mikhail Volkov
(Universite de Tours)
Abstract:
Classical solutions describing strings endowed with an electric charge and carrying a constant electromagnetic current are constructed within the bosonic sector of the Electroweak Theory and also in the Einstein-Yang-Mills theory.
Wednesday, 17 January 2007, at 3.30 p.m.
Experimental signatures for a model of generations of quarks and leptons
O.W. Greenberg
(Department of Physics, University of Maryland)
Abstract:
I will describe a composite model with exactly three
generations of quarks and leptons. The observable consequences of this
model include (1) heavy quarks and leptons that will have two-body
decays with no missing energy, (2) a new scenario for the Higgs meson in
which the Higgs decay rates are no longer connected to the quark masses,
(3) reduction by a factor of three in the cross section for e^+ e^- to
hadrons at high energy, and (4) a new candidate for dark matter. The
standard model gauge bosons will not couple directly to the quarks and
leptons, but instead will couple indirectly via one of the constituents.