Physics in the plane: From condensed matter to string theory

Workshop in Les Houches, February 28 - March 5, 2010.

Scientific Direction:

Jesper JACOBSEN (LPT ENS, Université Paris VI, Paris, France)
Stéphane OUVRY (LPTMS, CNRS, Université Paris-Sud, Orsay, France)
Vincent PASQUIER (IPhT, CEA, Saclay, France)
Didina SERBAN (IPhT, CEA, Saclay, France)

Speakers with links to their presentations:

Eldad Bettelheim (The Hebrew University of Jerusalem)

Jean-Émile Bourgine (IPhT, Saclay): Boundary conditions of the O(n) model on a dynamical lattice

Pasquale Calabrese (Università di Pisa): Entanglement entropy and conformal field theory

Constantin Candu (DESY, Hamburg): Cohomological subsectors in sigma models on superspaces

Jean-Sébastien Caux (Universiteit van Amsterdam)

Jérôme Dubail (IPhT, Saclay): Conformal loop models and beyond

Bertrand Duplantier (IPhT, Saclay)

Azat Gainutdinov (IPhT, Saclay): Logarithmic behavior on a lattice and in the continuum: the quantum group approach

Nikolay Gromov (King's College London & PNPI St. Petersburg): Y-system and quasi-classical strings

Christian Hagendorf (University of Virginia)

Yacine Ikhlef (Université de Genève): The integrale Z_2 staggered model

Vladimir Kazakov (LPT ENS, Paris): Y-system for the spectrum of AdS/CFT

Kirone Mallick (IPhT, Saclay): The asymmetric exclusion process: an integrable model for non-equilibrium statistical mechanics

Balázs Pozsgay (Universiteit van Amsterdam): Finite temperature correlations in massive integrable QFT

Francesco Ravanini (Università di Bologna)

Nicolas Régnault (LPA ENS, Paris)

Raoul Santachiara (LPTMS, Orsay)

Stanislas Smirnov (Université de Genève)

Jean-Marie Stéphan (IPhT, Saclay): Entanglement entropy in (simple) 2D critical wave functions

Roberto Tateo (Università di Torino)

Simon Trebst (University of California): Topological order and quantum criticality

Guifre Vidal (University of Queensland): Entanglement renormalization and conformal field theory

Programme:

Time Monday 1 March Tuesday 2 March Wednesday 3 March Thursday 4 March Friday 5 March
9h - 10h Ravanini Hagendorf Tateo Vidal Kazakov
10h - 11h Mallick Bettelheim Trebst Régnault Gromov
Coffee break
11h30 - 12h30 Dubail Smirnov Ikhlef Duplantier Calabrese
18h15 - 19h15 Stephan / Bourgine Caux Santachiara 18h - 19h30
Pozsgay
Gainutdinov
Candu

Scientific announcement:

Two-dimensional models are known to provide reliable descriptions of a wide array of physical phenomena, ranging from condensed matter (disordered electron gases, quantum liquids) to string theory (brane physics, AdS/CFT duality). Recent years have shown an extraordinary convergence of the methods used to study such models. The fruitful interplay between conformal field theory and quantum inverse scattering has been supplemented by mathematical methods coming from combinatorics, representation theory, and probability theory.
The algebraic structures underlying exactly solvable lattice models have deep connections to those emerging in the continuum description. On the other hand, stochastic Loewner evolution has provided a fundamentally new way of thinking about conformal field theory.
The goal of the workshop is to treat this plethora of models and techniques in a transversal way, emphasizing the common underlying structures. It is intended to be a continuation of the July 2008 Les Houches summer school, where a number of students followed a series of lectures on some of the most rapidly evolving topics concerning exact methods applied in low-dimensional statistical systems. This time, the emphasis will be put on the most recent applications of these methods. The audience targeted is composed of students, post-docs and young researchers.