construction contemporary zamolodchikov representation

books:

On Axiomatic Approaches to Vertex Operator Algebras and Modules (Memoirs of the American Mathematical Society)
Igor B. Frenkel, Yi-Zhi Huang, ...

Amer Mathematical Society, 1993

The notion of vertex operator algebra arises naturally in the vertex operator construction of the Monster---the largest sporadic finite simple group. From another perspective, the theory of vertex operator algebras and their modules forms the algebraic foundation of conformal field theory. Vertex operator algebras and conformal field theory are now known to be deeply related to many important areas of mathematics. This essentially ...

Spinor Construction of Vertex Operator Algebras, Triality, and Eb8P (Contemporary Mathematics)
Alex J. Feingold, Igor B. Frenkel, ...

Amer Mathematical Society, 1991

The theory of vertex operator algebras is a remarkably rich new mathematical field which captures the algebraic content of conformal field theory in physics. Ideas leading up to this theory appeared in physics as part of statistical mechanics and string theory. In mathematics, the axiomatic definitions crystallized in the work of Borcherds and in Vertex Operator Algebras and the Monster, by Frenkel, Lepowsky, and Meurman. The ...

Vertex Operator Algebras and the Monster, Volume 134 (Pure and Applied Mathematics) (Pure and Applied ...
Igor Frenkel, James Lepowsky, ...

Academic Press, 1989

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 ...

Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations
P. I. Etingof, Igor B. Frenkel, ...

American Mathematical Society, 1997

This book is devoted to mathematical structures arising in conformal field theory and the $q$-deformations. The authors give a self-contained exposition of the theory of Knizhnik-Zamolodchikov equations and related topics. No previous knowledge of physics is required. The text is suitable for a one-semester graduate course.