Conformal Field Theory And Solvable Lattice Models
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Conformal Field Theory And Solvable Lattice Models
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Author : M Jimbo
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Conformal Field Theory And Solvable Lattice Models written by M Jimbo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
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.
Conformal Field Theory And Solvable Lattice Models
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Author : Michio Jimbo
language : en
Publisher:
Release Date : 1988
Conformal Field Theory And Solvable Lattice Models written by Michio Jimbo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Conformal invariants categories.
Kakai K Shi Mokei To Ky Gataba Riron No Wadai Kara
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Author : Takashi Takebe
language : en
Publisher:
Release Date : 2006
Kakai K Shi Mokei To Ky Gataba Riron No Wadai Kara written by Takashi Takebe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Algebraic Analysis Of Solvable Lattice Models
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Author : Michio Jimbo
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Algebraic Analysis Of Solvable Lattice Models written by Michio Jimbo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
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.
Lattice Models And Conformal Field Theory
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Author : Franck Gabriel
language : en
Publisher: Courant Institute of Mathemetical Sciences
Release Date : 2024
Lattice Models And Conformal Field Theory written by Franck Gabriel and has been published by Courant Institute of Mathemetical Sciences this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Science categories.
This book introduces the mathematical ideas connecting Statistical Mechanics and Conformal Field Theory (CFT). Building advanced structures on top of more elementary ones, the authors map out a well-posed road from simple lattice models to CFTs. Structured in two parts, the book begins by exploring several two-dimensional lattice models, their phase transitions, and their conjectural connection with CFT. Through these lattice models and their local fields, the fundamental ideas and results of two-dimensional CFTs emerge, with a special emphasis on the Unitary Minimal Models of CFT. Delving into the delicate ideas that lead to the classification of these CFTs, the authors discuss the assumptions on the lattice models whose scaling limits are described by CFTs. This produces a probabilistic rather than an axiomatic or algebraic definition of CFTs. Suitable for graduate students and researchers in mathematics and physics, Lattice Models and Conformal Field Theory introduces the ideas at the core of Statistical Field Theory. Assuming only undergraduate probability and complex analysis, the authors carefully motivate every argument and assumption made. Concrete examples and exercises allow readers to check their progress throughout.
Perspectives On Solvable Models
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Author : Michael Baake
language : en
Publisher: World Scientific
Release Date : 1995-01-23
Perspectives On Solvable Models written by Michael Baake and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-23 with Science categories.
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.
New Developments In The Theory Of Knots
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Author : Toshitake Kohno
language : en
Publisher: World Scientific
Release Date : 1990-08-31
New Developments In The Theory Of Knots written by Toshitake Kohno and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-31 with Mathematics categories.
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.
New Developments In The Theory Of Knots
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Author : Toshitake Kohno
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1990
New Developments In The Theory Of Knots written by Toshitake Kohno and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Conformal Field Theory
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Author : Philippe Francesco
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Conformal Field Theory written by Philippe Francesco and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Rational And Logarithmic Minimal Models And Their Generalisations
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Author : Elena Tartaglia
language : en
Publisher:
Release Date : 2016
Rational And Logarithmic Minimal Models And Their Generalisations written by Elena Tartaglia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Lattice theory categories.
This thesis focuses on the study of exactly solvable two-dimensional lattice models and their associated conformal field theories. The critical behaviour of the RSOS models is described by the rational minimal models, the simplest family of conformal field theories. The logarithmic minimal lattice models have non-local degrees of freedom in the form of connectivities. At criticality, they are described by the logarithmic minimal models of conformal field theory. The author also investigates the $n\times n$ fused logarithmic minimal models, focusing on the $n=2$ case and showing that they are described by the logarithmic superconformal minimal models.