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9780821828564

Vertex Operator Algebras in Mathematics and Physics

by ; ; ;
  • ISBN13:

    9780821828564

  • ISBN10:

    0821828568

  • Format: Hardcover
  • Copyright: 2003-11-01
  • Publisher: Amer Mathematical Society

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Summary

Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as ''string-theoretic analogues'' of Lie algebras and of commutative associative algebras. They play fundamental roles in some of the most active research areas in mathematics and physics. Much recent progress in both physics and mathematics has benefited from cross-pollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, ''Vertex Operator Algebras in Mathematics and Physics'', held at The Fields Institute. It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra theory. The book is suitable for graduate students and research mathematicians interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics.

Table of Contents

Prefacep. vii
Schedule of Talksp. xi
Finiteness of Conformal Blocks Over the Projective Linep. 1
Permutation Orbifolds and their Applicationsp. 13
Category Theory for Conformal Boundary Conditionsp. 25
GNAVOA, I. Studies in Groups, Nonassociative Algebras and Vertex Operator Algebrasp. 71
Genera of Vertex Operator Algebras and Three-dimensional Topological Quantum Field Theoriesp. 89
Riemann Surfaces with Boundaries and the Theory of Vertex Operator Algebrasp. 109
Vertex (Operator) Algebras are "Algebras" of Vertex Operatorsp. 127
Correlation Functions, Differential Operators and Vertex Operator Algebrasp. 139
Relations for Annihilating Fields of Standard Modules for Affine Lie Algebrasp. 169
From Branes to Boundary Conformal Field Theory: Draft of a Dictionaryp. 189
Open Strings and Non-commutative Geometryp. 227
The World Sheet Revisitedp. 241
Table of Contents provided by Ingram. All Rights Reserved.

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