Article ID Journal Published Year Pages File Type
4667720 Advances in Mathematics 2007 57 Pages PDF
Abstract

We find necessary and sufficient conditions of irreducibility of vacuum modules over affine Lie algebras and superalgebras. From this we derive conditions of simplicity of minimal W-algebras. Moreover, in the case of the Virasoro and Neveu–Schwarz algebras we obtain explicit formulas for the vacuum determinants.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)