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Vertex Operator Algebras in Mathematics and Physics

Yuly Billig Carleton University, Ottawa, ON, Canada
Yi-Zhi Huang Rutgers University, Piscataway, NJ
James Lepowsky Rutgers University, Piscataway, NJ
A co-publication of the AMS and Fields Institute
Available Formats:
Electronic ISBN: 978-1-4704-3073-3
Product Code: FIC/39.E
249 pp
List Price: $88.00 MAA Member Price:$79.20
AMS Member Price: $70.40 Click above image for expanded view Vertex Operator Algebras in Mathematics and Physics Edited by: Stephen Berman University of Saskatchewan, Saskatoon, SK, Canada Yuly Billig Carleton University, Ottawa, ON, Canada Yi-Zhi Huang Rutgers University, Piscataway, NJ James Lepowsky Rutgers University, Piscataway, NJ A co-publication of the AMS and Fields Institute Available Formats:  Electronic ISBN: 978-1-4704-3073-3 Product Code: FIC/39.E 249 pp  List Price:$88.00 MAA Member Price: $79.20 AMS Member Price:$70.40
• Book Details

Fields Institute Communications
Volume: 392003
MSC: 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 “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.

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 three-dimensional topological quantum field theories
• Yi-Zhi 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 non-commutative geometry
• Christoph Schweigert and Jürgen Fuchs - The world sheet revisited
• Request Review Copy
Volume: 392003
MSC: 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 “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.

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 three-dimensional topological quantum field theories
• Yi-Zhi 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 non-commutative geometry
• Christoph Schweigert and Jürgen Fuchs - The world sheet revisited
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