Vertex Operator Algebras and the Monster
- Igor Frenkel, Yale University, New Haven, Connecticut
- James Lepowsky, Rutgers University
- Arne Meurman, University of Stockholm
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."
Research mathematicians, mathematical physicists, and graduate students.