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Vertex Operator Algebras in Mathematics and Physics
Edited by: Stephen Berman, University of Saskatchewan, Saskatoon, SK, Canada, Yuly Billig, Carleton University, Ottawa, ON, Canada, and Yi-Zhi Huang and James Lepowsky, Rutgers University, Piscataway, NJ
A co-publication of the AMS and Fields Institute.
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Fields Institute Communications
2003; 249 pp; hardcover
Volume: 39
ISBN-10: 0-8218-2856-8
ISBN-13: 978-0-8218-2856-4
List Price: US$83
Member Price: US$66.40
Order Code: FIC/39
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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.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students and researchers 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

  • T. Abe and K. Nagatomo -- Finiteness of conformal blocks over the projective line
  • P. Bantay -- Permutation orbifolds and their applications
  • J. Fuchs and C. Schweigert -- Category theory for conformal boundary conditions
  • R. L. Griess, Jr. -- GNAVOA, I. Studies in groups, nonassociative algebras and vertex operator algebras
  • G. Höhn -- Genera of vertex operator algebras and three-dimensional topological quantum field theories
  • Y.-Z. Huang -- Riemann surfaces with boundaries and the theory of vertex operator algebras
  • H. Li -- Vertex (operator) algebras are "algebras" of vertex operators
  • A. Milas -- Correlation functions, differential operators and vertex operator algebras
  • M. Primc -- Relations for annihilating fields of standard modules for affine Lie algebras
  • A. Recknagel -- From branes to boundary conformal field theory: Draft of a dictionary
  • V. Schomerus -- Open strings and non-commutative geometry
  • C. Schweigert and J. Fuchs -- The world sheet revisited
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