Conformal Field Theory And Solvable Lattice Models

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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.

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.

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.

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.

Integrable Systems In Quantum Field Theory And Statistical Mechanics

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Author : M. Jimbo
language : en
Publisher: Elsevier
Release Date : 2014-05-19

Integrable Systems In Quantum Field Theory And Statistical Mechanics 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 2014-05-19 with Science categories.

Integrable Sys Quantum Field Theory

Conformal Invariance And Applications To Statistical Mechanics

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Author : Claude Itzykson
language : en
Publisher: World Scientific
Release Date : 1988

Conformal Invariance And Applications To Statistical Mechanics written by Claude Itzykson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.

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.

Advances In Moduli Theory

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Author : Kenji Ueno
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Advances In Moduli Theory written by Kenji Ueno 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 2002 with Mathematics categories.

The word ``moduli'' in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann surface of an algebraic function field as a branched covering of a one-dimensional complex projective space, and found out that Riemann surfaces have parameters. This work gave birth to the theory of moduli. However, the viewpoint regarding a Riemann surface as an algebraic curve became the mainstream,and the moduli meant the parameters for the figures (graphs) defined by equations. In 1913, H. Weyl defined a Riemann surface as a complex manifold of dimension one. Moreover, Teichmuller's theory of quasiconformal mappings and Teichmuller spaces made a start for new development of the theory ofmoduli, making possible a complex analytic approach toward the theory of moduli of Riemann surfaces. This theory was then investigated and made complete by Ahlfors, Bers, Rauch, and others. However, the theory of Teichmuller spaces utilized the special nature of complex dimension one, and it was difficult to generalize it to an arbitrary dimension in a direct way. It was Kodaira-Spencer's deformation theory of complex manifolds that allowed one to study arbitrary dimensional complex manifolds.Initial motivation in Kodaira-Spencer's discussion was the need to clarify what one should mean by number of moduli. Their results, together with further work by Kuranishi, provided this notion with intrinsic meaning. This book begins by presenting the Kodaira-Spencer theory in its original naiveform in Chapter 1 and introduces readers to moduli theory from the viewpoint of complex analytic geometry. Chapter 2 briefly outlines the theory of period mapping and Jacobian variety for compact Riemann surfaces, with the Torelli theorem as a goal. The theory of period mappings for compact Riemann surfaces can be generalized to the theory of period mappings in terms of Hodge structures for compact Kahler manifolds. In Chapter 3, the authors state the theory of Hodge structures, focusingbriefly on period mappings. Chapter 4 explains conformal field theory as an application of moduli theory. This is the English translation of a book originally published in Japanese. Other books by Kenji Ueno published in this AMS series, Translations of Mathematical Monographs, include An Introduction toAlgebraic Geometry, Volume 166, Algebraic Geometry 1: From Algebraic Varieties to Schemes, Volume 185, and Algebraic Geometry 2: Sheaves and Cohomology, Volume 197.

Quantum Field Theory And String Theory

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Author : L. Baulieu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Quantum Field Theory And String Theory written by L. Baulieu 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.

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.

Integrable Quantum Field Theories

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Author : L. Bonora
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Integrable Quantum Field Theories written by L. Bonora 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 2013-11-11 with Science categories.

Proceedings of a NATO ARW held in Como, Italy, September 14-19, 1992

Strings 93 Proceedings Of The Conference

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Author : Martin B Halpern
language : en
Publisher: World Scientific
Release Date : 1995-03-16

Strings 93 Proceedings Of The Conference written by Martin B Halpern and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-16 with categories.

This volume gives an up-to-date account of the major activities in the general area of string theory. String phenomenology, mirror symmetry, duality black hole physics, topological and conformal field theory, 2D gravity and QCD related developments are reviewed in detail.