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Author: M Jimbo
Publisher: Elsevier
ISBN: 0323150357
Category : Science
Languages : en
Pages : 439
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Book Description
Advanced Studies in Pure Mathematics, 16: Conformal Field Theory and Solvable Lattice Models contains nine papers based on the symposium "Conformal field theory and solvable lattice models" held at RIMS, Kyoto, May 1986. These papers cover the following active areas in mathematical physics: conformal field theory, solvable lattice models, affine and Virasoro algebra, and KP equations. The volume begins with an analysis of 1 and 2 point correlation functions of the Gibbs measure of random matrices. This is followed by separate chapters on solvable solid-on-solid (SOS) models; lectures on conformal field theory; the construction of Fermion variables for the 3D Ising Model; and vertex operator construction of null fields (singular vertex operators) based on the oscillator representation of conformal and superconformal algebras with central charge extention. Subsequent chapters deal with Hecke algebra representations of braid groups and classical Yang-Baxter equations; the relationship between the conformal field theories and the soliton equations (KdV, MKdV and Sine-Gordon, etc.) at both quantum and classical levels; and a supersymmetric extension of the Kadomtsev-Petviashvili hierarchy.
Author: M Jimbo
Publisher: Elsevier
ISBN: 0323150357
Category : Science
Languages : en
Pages : 439
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Book Description
Advanced Studies in Pure Mathematics, 16: Conformal Field Theory and Solvable Lattice Models contains nine papers based on the symposium "Conformal field theory and solvable lattice models" held at RIMS, Kyoto, May 1986. These papers cover the following active areas in mathematical physics: conformal field theory, solvable lattice models, affine and Virasoro algebra, and KP equations. The volume begins with an analysis of 1 and 2 point correlation functions of the Gibbs measure of random matrices. This is followed by separate chapters on solvable solid-on-solid (SOS) models; lectures on conformal field theory; the construction of Fermion variables for the 3D Ising Model; and vertex operator construction of null fields (singular vertex operators) based on the oscillator representation of conformal and superconformal algebras with central charge extention. Subsequent chapters deal with Hecke algebra representations of braid groups and classical Yang-Baxter equations; the relationship between the conformal field theories and the soliton equations (KdV, MKdV and Sine-Gordon, etc.) at both quantum and classical levels; and a supersymmetric extension of the Kadomtsev-Petviashvili hierarchy.
Author: Michio Jimbo
Publisher:
ISBN: 9784875731245
Category : Conformal invariants
Languages : en
Pages : 426
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Book Description
Author: Franck Gabriel
Publisher:
ISBN: 9781470456184
Category : Science
Languages : en
Pages : 0
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Book Description
Author: Michio Jimbo
Publisher: American Mathematical Soc.
ISBN: 9780821889299
Category : Mathematics
Languages : en
Pages : 182
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Book Description
Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. Because results in this subject were scattered in the literature, this book fills the need for a systematic account, focusing attention on fundamentals without assuming prior knowledge about lattice models or representation theory. After a brief account of basic principles in statistical mechanics, the authors discuss the standard subjects concerning solvable lattice models in statistical mechanics, the main examples being the spin 1/2 XXZ chain and the six-vertex model. The book goes on to introduce the main objects of study, the corner transfer matrices and the vertex operators, and discusses some of their aspects from the viewpoint of physics. Once the physical motivations are in place, the authors return to the mathematics, covering the Frenkel-Jing bosonization of a certain module, formulas for the vertex operators using bosons, the role of representation theory, and correlation functions and form factors. The limit of the XXX model is briefly discussed, and the book closes with a discussion of other types of models and related works.
Author: Uwe Grimm
Publisher: World Scientific
ISBN: 9814501042
Category : Science
Languages : en
Pages : 308
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Book Description
This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega. Contents:PrefaceExact Steady States of Asymmetric Diffusion and Two-Species Annihilation with Back Reaction from the Ground State of Quantum Spin Models (F C Alcaraz)Schrödinger Invariance in Discrete Stochastic Systems (M Henkel & G Schütz)Exact Thermostatic Results for the n-Vector Model on the Harmonic Chain (G Junker & H Leschke)Non-Hermitian Tricriticality in the Blume-Capel Model with Imaginary Field (G von Gehlen)Fusion of A–D–E Lattice Models (Y-K Zhou & P A Pearce)A Critical Ising Model on the Labyrinth (M Baake et al.)Quantum Superspin Chains (T H Baker & P D Jarvis)q-Deformations of Quantum Spin Chains with Exact Valence-Bond Ground States (M T Batchelor & C M Yung)The Tensor Product of Tensor Operators Over Quantum Algebras: Some Applications to Quantum Spin Chains (M Scheunert)Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras (A J Bracken et al.)Sigma Models with (2,2) World Sheet Supersymmetry (F Delduc & E Sokatchev)and other papers Readership: Theoretical physicists. keywords:
Author: S. L. Lukyanov
Publisher: CRC Press
ISBN: 9783718650477
Category : Science
Languages : en
Pages : 132
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Book Description
Author: L. Baulieu
Publisher: Springer Science & Business Media
ISBN: 1461518199
Category : Science
Languages : en
Pages : 417
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Book Description
The Cargese Workshop "Quantum Field Theory and String Theory" was held from May 10 to May 21, 1993. The broad spectrum of the work presented at the Workshop was the reflec tion of a time of intensive search for new ways of solving some of the most fun damental problems in string theory, quantum gravity and non-perturbative field theory. A number of talks indicated the emergence of new promising domains of investigation. It is this very diversity of topics which, in our opinion, represents one of the most attractive features of the present volume which we hope will provide a good orientation in the abundant flow of ideas and publications in modern quantum field theory. Many contributions to the present proceedings are concerned with two di mensional quantum field theory. The continuous advances in the domain of two dimensional integrable theories on the lattice as well as in the continuum, including conformal field theories, Liouville field theory and matrix models of two dimensional quantum gravity are very well represented. Other papers address physically realistic (and therefore very complicated) problems like de veloped turbulence, the Hofstadter problem, higher dimensional gravity and phenomenological strings. A new elegant class of topological field theories is presented. New ideas in the string representation of multicolor quantum chromo dynamics were widely discussed at the Workshop, more particularly the example of the exactly solvable two dimensional case.
Author: Toshitake Kohno
Publisher: World Scientific
ISBN: 9789810201623
Category : Mathematics
Languages : en
Pages : 924
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Book Description
This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different domains including Mathematics and Physics. This volume will give an excellent perspective on these new developments in Topology inspired by mathematical physics.
Author: L. Bonora
Publisher: Springer Science & Business Media
ISBN: 1489915168
Category : Science
Languages : en
Pages : 330
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Book Description
Proceedings of a NATO ARW held in Como, Italy, September 14-19, 1992
Author: C Itzykson
Publisher: World Scientific
ISBN: 9814507598
Category :
Languages : en
Pages : 992
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Book Description
This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.
