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
收藏
页码：191 / 206
页数：16
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