Introduction to Vertex Operator Superalgebras and Their Modules

ISBN-13: 9789048150960 / Angielski / Miękka / 2010 / 360 str.

Xiaoping Xu

Opis

This book presents a systematic study on the structures of vertex operator superalgebras and their modules. Related theories of self-dual codes and lattices are included, as well as recent achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules, constructions of simple vertex operator superalgebras from graded associative algebras and their anti-involutions, self-dual codes and lattices. Audience: This book is of interest to researchers and graduate students in mathematics and mathematical physics.

Recenzje

`... well-written, with many improvements of known results and existing proofs. The researchers and the graduate students will use this book both as a graduate textbook and as a useful reference...'
Zentralblatt MATH, 929 (2000)

Spis treści

Preface. Introduction: Notational Conventions.I. Self-Dual Lattices and Codes. 1. Self-Dual Codes. 2. Self-Dual Lattices. II. Vertex Operator Superalgebras and Their Modules. 3. Definitions and General Properties. 4. Conformal Superalgebras, Affine Kac-Moody Algebras and KZ Equations. 5. Analogue of the Highest-Weight Theory. 6. Lattice Vertex Operator Superalgebras. 7. VOSAs Generated by Their Subspaces of Small Weights. Bibliography. Index.