Vertex Operator Algebras and the Monster

By Igor Frenkel, James Lepowsky, Arne Meurman

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."

• Format: Hardcover
• Language: English
• ISBN: 0122670655
• ISBN13: 9780122670657
• Release Date: April 1989
• Publisher: Academic Press
• Length: 508 Pages
• Weight: 2.07 lbs.
• Dimensions: 1.3" x 6.0" x 9.0"