Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups.

Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups.

This book contains papers presented by speakers at the AMS-IMS-SIAM Joint Summer Research Conference on Conformal Field Theory, Topological Field Theory and Quantum Groups, held at Mount Holyoke College in June 1992. One group of papers deals with one aspect of conformal field theory, namely, vertex...

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Bibliographic Details
Main Author: Paul J. Sally, Jr
Other Authors: Flato, Moshe, Lepowsky, James, Reshetikhin, Nicolai, Zuckerman, Gregg J.
Format: eBook
Language:English
Published: Providence : American Mathematical Society, 1994.
Series:Contemporary Mathematics Ser.
Subjects:
Conformal invariants > Congresses.
Quantum field theory > Congresses.
Quantum groups > Congresses.
Mathematical physics > Congresses.
Conformal invariants
Mathematical physics
Quantum field theory
Quantum groups
Conference papers and proceedings
Online Access:Click for online access
Table of Contents:
  • Intro; Contents; Preface; Connection coefficients for A-type Jackson integral and Yang-Baxter equation; Representations of the moonshine module vertex operator algebra; The construction of the moonshine module as a Zp-orbifold; Star products, quantum groups, cyclic cohomology, and pseudodifferential calculus; The universal T-matrix; Fusion rings for modular representations of Chevalley groups; Quantum groups and flag varieties; Operadic formulation of the notion of vertex operator algebra.
  • Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a two-manifoldVertex operator superalgebras and their representations; Topological invariants for 3-manifolds using representations of mapping class groups II: Estimating tunnel number of knots; Poisson Lie groups, quantum duality principle, and the quantum double; Local 4-point functions and the Knizhnik-Zamolodchikov equation.

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