eBook ISBN:  9781470430733 
Product Code:  FIC/39.E 
List Price:  $93.00 
MAA Member Price:  $83.70 
AMS Member Price:  $74.40 
eBook ISBN:  9781470430733 
Product Code:  FIC/39.E 
List Price:  $93.00 
MAA Member Price:  $83.70 
AMS Member Price:  $74.40 

Book DetailsFields Institute CommunicationsVolume: 39; 2003; 249 ppMSC: Primary 17; 81; 57
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 “stringtheoretic 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 crosspollination 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 copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipGraduate 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

Chapters

Toshiyuki Abe and Kiyokazu Nagatomo — Finiteness of conformal blocks over the projective line

P. Bantay — Permutation orbifolds and their applications

Jürgen Fuchs and Christoph Schweigert — Category theory for conformal boundary conditions

Robert Griess, Jr. — GNAVOA, I. Studies in groups, nonassociative algebras and vertex operator algebras

Gerald Höhn — Genera of vertex operator algebras and threedimensional topological quantum field theories

YiZhi Huang — Riemann surfaces with boundaries and the theory of vertex operator algebras

Haisheng Li — Vertex (operator) algebras are “algebras” of vertex operators

Antun Milas — Correlation functions, differential operators and vertex operator algebras

Mirko Primc — Relations for annihilating fields of standard modules for affine Lie algebras

Andreas Recknagel — From branes to boundary conformal field theory: Draft of a dictionary

Volker Schomerus — Open strings and noncommutative geometry

Christoph Schweigert and Jürgen Fuchs — The world sheet revisited


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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 “stringtheoretic 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 crosspollination 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 copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
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.

Chapters

Toshiyuki Abe and Kiyokazu Nagatomo — Finiteness of conformal blocks over the projective line

P. Bantay — Permutation orbifolds and their applications

Jürgen Fuchs and Christoph Schweigert — Category theory for conformal boundary conditions

Robert Griess, Jr. — GNAVOA, I. Studies in groups, nonassociative algebras and vertex operator algebras

Gerald Höhn — Genera of vertex operator algebras and threedimensional topological quantum field theories

YiZhi Huang — Riemann surfaces with boundaries and the theory of vertex operator algebras

Haisheng Li — Vertex (operator) algebras are “algebras” of vertex operators

Antun Milas — Correlation functions, differential operators and vertex operator algebras

Mirko Primc — Relations for annihilating fields of standard modules for affine Lie algebras

Andreas Recknagel — From branes to boundary conformal field theory: Draft of a dictionary

Volker Schomerus — Open strings and noncommutative geometry

Christoph Schweigert and Jürgen Fuchs — The world sheet revisited