Quantum Groups, Integrable Models and Statistical Systems

by Letourneux, Jean; Vinet, Luc; Cap-nserc Summer Institute in Theoretica

• ISBN13: 9789810215552
• ISBN10: 981021555X
• Format: Hardcover
• Copyright: 1993-09-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

Preface
Quantum Chains and Fusion Rules for Representations of SL(2)[subscript q] at Roots of Unity	p. 1
Singular Vectors of the Virasoro and Neveu-Schwarz Algebras	p. 13
Lattice Physics and Inhomogeneous Quantum Algebras	p. 21
Yang-Baxter Algebras with Generalized Statistics	p. 33
On the Hamiltonian Structures and the Reductions of the KP Hierarchy	p. 41
Simple Approach to Thermal Bethe Ansatz	p. 50
Universal Field Equations and Euler Hierarchies	p. 63
Generalized Drinfeld-Sokolov Hierarchies and W-Algebras	p. 71
Quantum Algebras and Quantum Groups in q-Special Function Theory	p. 83
Polynomials of a Discrete Variable and Quantum Mechanics	p. 94
Moment Maps to Loop Algebras, Classical R-Matrix and Integrable Systems	p. 105
Solutions to the Bethe Ansatz Equations in the XXX-Heisenberg Model	p. 118
Quantum Affine Symmetry at Roots of 1 as Generalized Supersymmetry	p. 126
New Casimir Operators of Quantum Algebras and Their Application in Physics	p. 142
Symmetries of a Classical Chern-Simons Theory	p. 148
RG Flows and Resonance Scattering Amplitudes	p. 159
Introduction to the Thermodynamics of Spin Chains	p. 168
Chiral Non-critical Strings	p. 192
Path-Integral WZNW-Toda Reductions	p. 204
Light-Cone Lax Pairs for the W-Gravity Theories	p. 210
Conformal Invariance of 2-D Percolation on a Branched Space with Boundary	p. 220
Actions for Integrable Systems and Deformed Conformal Theories	p. 225
Chern-Simons Superconductivity Without Parity Violation	p. 236
Nonlinear Algebras and Spectral Problems	p. 246
Two-Pole R-Matrices	p. 257
The Symmetries of Integrability: from Yang-Baxter Equations to Discrete-Time Dynamical Systems	p. 267
The KP Hierarchies in Matrix Models	p. 279
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