9789812382030

This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7-11, 2001. The collection of papers is aimed at researchers, including graduate students, with an interdisciplinary interest and gives a brief introduction to many of the topics of current interest. These include new results on exactly solvable models in statistical mechanics, integrable through the Yang -- Baxter equations, quantum groups, fractional statistics, random matrices, index theorems on the lattice, and other related topics.

Preface
Introduction: Fa Yueh Wu
Star-Triangle Equations and Identities in Hypergeometric Series	p. 1
Happer's Curious Degeneracies and Yangian	p. 15
Fractional Statistics in Some Exactly Solvable Models With PT Invariant Interactions	p. 23
The Rotor Model and Combinatorics	p. 31
Phase Transitions in the Two-Dimensional O(3) Model	p. 39
The 8V CSOS Model and the sl[subscript 2] Loop Algebra Symmetry of the Six-Vertex Model at Roots of Unity	p. 47
The Chern-Simons Invariant in the Berry Phase of A Two by Two Hamiltonian	p. 55
Mutually Local Fields from Form Factors	p. 63
Deformation Quantization: Is C[subscript 1] Necessarily Skew?	p. 73
Generalized Ginsparg-Wilson Algebra and Index Theorem on the Lattice	p. 79
Spectral Flow of Hermitian Wilson-Dirac Operator and the Index Theorem in Abelian Gauge Theories on Finite Lattices	p. 91
Dimers and Spanning Trees: Some Recent Results	p. 99
Hyperbolic Structure Arising from a Knot Invariant II: Completeness	p. 111
Exotic Galilean Symmetry and the Hall Effect	p. 119
The Three-State Chiral Clock Model	p. 127
Stochastic Description of Agglomeration and Growth Processes in Glasses	p. 135
Fusion Construction of the Vertex Operators in Higher Level Representation of the Elliptic Quantum Group	p. 143
Quantum Dynamics and Random Matrix Theory	p. 151
Integrable Coupling in a Model for Josephson Tunneling Between Non-Identical BCS Systems	p. 157
Finite Density Algorithm in Lattice QCD - A Canonical Ensemble Approach	p. 165
Short-Time Behaviors of Long-Ranged Interactions	p. 181
Generalized Supersymmetrics and Composite Structure in M-Theory	p. 187
Gaussian Orthogonal Ensemble for the Level Spacing Statistics of the Quantum Four-State Chiral Potts Model	p. 195
Comments on the Deformed W[subscript N] Algebra	p. 203
The Peierls Substitution and the Vanishing Magnetic Field Limit	p. 213
Applications of a Hard-Core Bose-Hubbard Model to Well-Deformed Nuclei	p. 219
Elliptic Algebra and Integrable Models for Solitons on Noncommutative Torus T	p. 227
New Results for Susceptibilities in Planar Ising Models	p. 237
Algebraic Geometry and Hofstadter Type Model	p. 245
Limitations on Quantum Control	p. 255
Rigorous Results on the Strongly Correlated Electron Systems by the Spin-Reflection-Positivity Method	p. 261
An Algebraic Approach to the Eigenstates of the Calogero Model	p. 269
Onsager's Algebra and Partially Orthogonal Polynomials	p. 277
Thermodynamics of Two Component Bosons in One Dimension	p. 285
R-Matrices and the Tensor Product Graph Method	p. 293
Free Field and Parafermionic Realizations of Twisted su(3)[subscript k][superscript (2)] Current Algebra	p. 301
Table of Contents provided by Blackwell. All Rights Reserved.

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Lattice Statistics and Mathematical Physics

9812382038

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