Vertex Operator Algebras and the Monster

Vertex Operator Algebras and the Monster book cover

Vertex Operator Algebras and the Monster

Author(s): Igor Frenkel (Author)

  • Publisher: Academic Press
  • Publication Date: July 15, 2011
  • Language: English
  • Print length: 562 pages
  • ISBN-10: 0123994543
  • ISBN-13: 9780123994547

Book Description

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"

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