On simplicity of vacuum modules
数学物理
2014-01-16 v2 math.MP
摘要
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 Virasoro and Neveu-Schwarz algebras we obtain explicit formulas for vacuum determinants.
引用
@article{arxiv.math-ph/0606002,
title = {On simplicity of vacuum modules},
author = {M. Gorelik and V. Kac},
journal= {arXiv preprint arXiv:math-ph/0606002},
year = {2014}
}
备注
54 pages. 6/14/06: Corollary 9.1.5(ii) is replaced by a complete version and its proofis added