Integrable systems in quantum field theory and statistical mechanics
著者
書誌事項
Integrable systems in quantum field theory and statistical mechanics
（Advanced studies in pure mathematics, 19）
Kinokuniya , Academic Press, c1989
- : ja
- : us
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注記
"Most of the papers contributed to this volume are related to two symposia ... The latter was held as the Taniguchi Conference."--Pref
"'Integrable Systems in Quantum Field Theory and Statistical Mechanics' held at Research Institute for Mathematical Science, Kyoto University during October 17-21, 1988, and at Kyuzeso, Katata during October 24-28, 1988."--Pref
Includes bibliographies
内容説明・目次
内容説明
Advanced Studies in Pure Mathematics, Volume 19: Integrable Systems in Quantum Field Theory and Statistical Mechanics provides information pertinent to the advances in the study of pure mathematics. This book covers a variety of topics, including statistical mechanics, eigenvalue spectrum, conformal field theory, quantum groups and integrable models, integrable field theory, and conformal invariant models. Organized into 17 chapters, this volume begins with an overview of the eigenvalues of the three-state superintegrable chiral Potts model of the associated spin chain by use of a functional equation. This text then illustrates the importance of the star-triangle equation with a few results for the two-dimensional Ising model. Other chapters consider the conformal field theories on manifolds with a boundary, and the constraints placed by modular invariance on their partition functions. This book discusses as well the topological invariants for knots and links. The final chapter deals with equations of motion for two-dimensional quantum field theory. This book is a valuable resource for mathematicians.
目次
?Eigenvalue Spectrum of the Superintegrable Chiral Potts Model
Star-Triangle Relation
Solving Models in Statistical Mechanics
KdV-Type Equations and W-Algebras
Boundary Conditions in Conformal Field Theory
Paths, Maya Diagrams and Representations of sl(r, C)
Knot Theory based on Statistical Models at Criticality
From the Harmonic Oscillator to the A-D-E Classification of Conformal Models
Formal Groups and Conformal Field Theory over Z
A New Family of Solvable Lattice Models Associated with An(1)
Solvable Lattice Models and Algebras of Face Operators
D-Modules and Nonlinear Systems
Quantum Groups and Integrable Models
Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries
Yang-Baxter Algebras, Conformal Invariant Models and Quantum Groups
Integrable Field Theory from Conformal Field Theory
Errata to Vertex Operators in Conformal Field Theory on P1 and Monodromy Representations of Braid Group in Advanced Studies in Pure Mathematics 16, 1988
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