Rationality of Bershadsky-Polyakov Vertex Algebras

被引：37

作者：

Arakawa, Tomoyuki ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 323卷 / 02期

关键词：

REPRESENTATION-THEORY; QUANTUM REDUCTION;

D O I：

10.1007/s00220-013-1780-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the conjecture of Kac-Wakimoto on the rationality of exceptional W-algebras for the first non-trivial series, namely, for the Bershadsky-Polyakov vertex algebras at level k = p/2-3 with . This gives new examples of rational conformal field theories.

引用

页码：627 / 633

页数：7

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