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New Methods in Quantum Field Theory: Infinite Symmetries in Statistical Mechanics and String Theory

Objective

The primary aim of the project is to establish a network of thirteen institutions, each containing small to medium size research groups of theoretical and mathematical physicists, sharing a common purpose but possessing complementary expertise. The common purpose lies in seeking a unified description of all the fundamental forces of nature, and a shared expectation that this will emerge from string theory. The complementary expertise lies in the major sub-fields of conformal field theory; integrable quantum field theories and their relationship to models of statistical mechanical systems; matrix models, topological field theory, low-dimensional gravity and their relationships to string theory; the representation theory of Kac-Moody, Virasoro and W-algebras; the development of the theory of quantum groups and their representation theory. All of these are studied at one or more nodes of the network. Key ideas are expected to come from broadly educated younger members of the community, and the network will foster the training of young people.
A network of institutions has been established, each containing small to medium size research groups of theoretical and mathematical physicists, sharing a common purpose but possessing complementary expertise. The common purpose lies in seeking a unified description of all the fundamental forces of nature, and a shared expectation that this will emerge from string theory. The complementary expertise lies in the major subfields of conformal field theory; integrable quantum field theories and their relationship to models of statistical mechanical systems; matrix models, topological field theory, low dimensional gravity and their relationships to string theory; the representation theory of Kac-Moody, Virasoro and W-algebras; the development of the theory of quantum groups and their representation theory. Progress has been made in several directions, particularly in 2-dimensional gravity, the discovery of hidden symmetries in reductions of Einstein's theory, in the application of W-symmetry to the quantum Hall effect, in the exploration of soliton and other solutions in Toda field theory, the study of N=2 conformal field theories, development of the Bethe ansatz technique and in the study of quantum groups including the deformed Poincare algebra.

Funding Scheme

CSC - Cost-sharing contracts

Coordinator

UNIVERSITY OF DURHAM
Address
Science Laboratories, South Road
DH1 3LE Durham
United Kingdom

Participants (12)

CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Spain
Address
Calle Serrano 117
Madrid
Centre National de la Recherche Scientifique (CNRS)
France
Address
24 Rue Lhomond
75231 Paris
Commissariat à l'Energie Atomique (CEA)
France
Address
Centre D'études De Saclay
91191 Gif-sur-yvette
Istituto Nazionale di Fisica Nucleare
Italy
Address
Largo Enrico Fermi 2
50125 Firenze
KING'S COLLEGE LONDON
United Kingdom
Address
Strand
WC2R 2LS London
RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITÄT BONN
Germany
Address
Nussallee 12
Bonn
UNIVERSITY OF GENEVA
Switzerland
Address
24,Quai Ernest Ansermet 24
1211 Geneve
University of Wales, Swansea
United Kingdom
Address
Singleton Park
SA2 8PP Swansea
Universität Hamburg
Germany
Address
Luruperchaussee 159
22761 Hamburg
Université de Mons Hainaut
Belgium
Address
8,Avenue Du Champ De Mars
7000 Mons
Uppsala University
Sweden
Address
5A,thunbergsvaegen
751 21 Uppsala
École Normale Supérieure de Lyon
France
Address
46 Allée D'italie
69364 Lyon