Integrable Quantum Field Theories

Description

Quantum Affine Symmetry and Correlation Functions of the XXZ Model; T. Miwa. A ThreeDimensional Solvable Model; V.V. Bazhanov, R.J. Baxter. Elliptic Parametrization of the Three-State Chiral Potts Model; R.J. Baxter. An Introduction to Yangian Symmetries; D. Bernard. On the Quantum-Group Description of the Massive Thirring (Sine-Gordon) Model; C. Destri. The Operator Algebra of the Discrete State Operators in 2D Gravity with Nonvanishing Cosmological Constant; Vl.S. Dotsenko. Hidden Geometrical Structures in Integrable Models; P. Dorey. Hidden Geometrical Structures in Integrable Models; P. Dorey. Picard-Fuchs Equations and Low Energy Couplings in Superstring Theories; R.D'Auria, S. Ferrara. On the Structure of Rational Field Theory; D. Gepner. Non-Perturbative Computability Vs. Integrability in Susy QFT's; S. Cecotti. Quantum Integrability and Exact S-Matrices for Affine Toda Theories; D. Zanon. 10 additional articles. Index. Front Matter....Pages i-viii Quantum Affine Symmetry and Correlation Functions of the XXZ Model....Pages 1-14 A Three-Dimensional Solvable Model....Pages 15-25 Elliptic Parametrization of the Three-State Chiral Potts Model....Pages 27-37 An Introduction to Yangian Symmetries....Pages 39-52 On the Quantum—Group Restriction of the Massive Thirring (Sine—Gordon) Model....Pages 53-67 The Operator Algebra of the Discrete State Operators in 2D Gravity with Non-Vanishing Cosmological Constant....Pages 69-81 Hidden Goemetrical Structures in Integrabel Models....Pages 83-97 Picard-Fuchs Equations and Low Energy Couplings in Superstring Theories....Pages 99-118 On the Structure of Rational Field Theory....Pages 119-122 Non-perturbative Computability vs. Integrability in Susy QFT’s....Pages 123-139 Quantum Integrability and Exact S-Matrices for Affine Toda Theories....Pages 141-156 Two-Dimensional Black Hole and the c = 1 Liouville Theory....Pages 157-167 Affine Toda Solitons....Pages 169-171 Correlation Functions in 2-Dimensional Integrable Quantum Field Theories....Pages 173-186 Reaction-Diffusion Processes and Quantum Chains....Pages 187-216 Off — Critical W ∞ and Virasoro Algebras as Dynamical Symmetries of the Integrable Models....Pages 217-234 The W-Geometry and Quantum-Group Structure of (Generalized) Two-Dimensional Gravities....Pages 235-255 The Partition Function of 2D String Theory....Pages 257-281 Topological Conformal Field Theory from the Point of View of Integrable Systems....Pages 283-302 New Modular Representations and Fusion Algebras from Quantized SL(2,R) Chern-Simons Theories....Pages 303-315 Some New/Old Approaches to QCD....Pages 317-329 Back Matter....Pages 331-333