Coset vertex operator algebras and W-algebras of A-type

被引：4

作者：

Arakawa, Tomoyuki ^{[1
]}

Jiang, Cuipo ^{[2
]}

机构：

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

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2018年 / 61卷 / 02期

基金：

日本学术振兴会; 中国国家自然科学基金;

关键词：

W-algebra; coset vertex operator algebra; rationality; KAC-MOODY ALGEBRAS; QUANTUM-FIELD THEORY; REPRESENTATION-THEORY; VIRASORO; AFFINE; RATIONALITY; SYMMETRY; CHARACTERS; REDUCTION; MODELS;

D O I：

10.1007/s11425-017-9161-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an explicit description for a weight three generator of the coset vertex operator algebra , for n ae<yen> 2, l > 1. Furthermore, we prove that the commutant is isomorphic to the W-algebra , which confirms the conjecture for the sl3 case that is isomorphic to for simply-laced Lie algebras g with its Coxeter number h for a positive integer l.

引用

页码：191 / 206

页数：16

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