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Integrable models and applications: from strings to condensed matter

Objective

We are assembling within one large network the majority of scientists presently working in Europe on aspects of integrability, including many of those who have been responsible for recent major advances in the development and applications of this idea. The principal theme has captured the interest of theoretical physicists and mathematicians and this network has partners with expertise from both domains. The concept of integrability is quite old but only relatively recently has its importance within quantum field theory and statistical mechanics, and their applications, become clear.
Our objectives are threefold:
(1) to elucidate the mathematical structure of integrable field theories and statistical mechanical models, with particular emphasis on the study of boundary conditions and their associated effects - these are all-important in applications and their study is already leading to new insights;
(2) to develop suitable calculation tools, especially those which are non- perturbative, or based on extending ideas from conformal field theory (an important, much-studied, special case), in order to be able to calculate correlation functions and other quantities of interest when developing applications;
(3) to apply the ideas from integrability to physical systems of various kinds, including gauge theories and string theory, both in the domain of theoretical particle physics, disordered systems and non-equilibrium statistical mechanics, mesoscopic systems and quantum transport. This will also require us to investigate departures from integrability in order to be able to use information derived from idealized models in realistic situations. There are many existing links between the partners on which we will build, and there are many links with research groups outside Europe that we intend to use to enhance the formal aspects of the training we will provide within our schools and workshop.

Funding Scheme

NET - Research network contracts

Coordinator

UNIVERSITY OF YORK
Address
Heslington
York
United Kingdom

Participants (11)

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
France
Address
Chemin De Bellevue
74941 Annecy Le Vieux
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
France
Address
Place Eugène Bataillon 2
34095 Montpellier
ECOLE NORMALE SUPERIEURE DE LYON
France
Address
Allée D'italie 46 Ura 1325 Cnrs
69364 Lyon
FREIE UNIVERSITAET BERLIN
Germany
Address
14,Arnimallee 14
14195 Berlin
INSTITUTE OF NUCLEAR RESEARCH AND NUCLEAR ENERGY - BULGARIAN ACADEMY OF SCIENCES
Bulgaria
Address
Blvd. Tzarigradsko Shosse 72
1784 Sofia
INTERNATIONAL SCHOOL FOR ADVANCED STUDIES
Italy
Address
Via Beirut 2-4
34014 Grignano
ISTITUTO NAZIONALE DI FISICA NUCLEARE
Italy
Address
Viale Berti-pichat 6/2
40126 Bologna
KING'S COLLEGE LONDON
United Kingdom
Address
Strand
WC2R 2LS London
RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITÄT BONN
Germany
Address
Nussallee 12
Bonn
UNIVERSIDADE DE SANTIAGO DE COMPOSTELA
Spain
Address
Campus Sur
15706 Santiago De Compostela
UNIVERSITY OF DURHAM
United Kingdom
Address
Science Laboratories, South Road
DH1 3LE Durham