Vertex Operator Algebras and the Monster (Volume 134) (Pure and Applied Mathematics, Volume 134)

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In Used Condition. Seller Inventory # Ubyused0122670655

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Synopsis: This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."

Review: This book is a detailed research monograph which contains the complete proofs of the authors' previously announced results. It is mostly self-contained and the exposition, given the technicalities involved, could not have been any better. It will be an asset to research mathematicians as well as physicists, and certainly deserves a place in every mathematics and physics library.
--MATHEMATICAL REVIEWS
The present book shows how this group arises as the symmetry group of a certain vertex-operator algebra....'One fact, however, is undeniable. As the automorphism group of a distinguished conformal field theory, the Monster is fundamentally related to one of the most spectacular chapters of modern theoretical physics--string theroy.'
--N.J.A. SLoane, AT&T Laboratories quoted in AMERICAN SCIENTIST

Bibliographic Details

Title: Vertex Operator Algebras and the Monster (...
Publisher: Academic Press
Publication Date: 1989
Binding: Hardcover
Condition: very good