Quantum group GLq(2) and quantum Laplace operator via semi-infinite cohomology

被引：1

作者：

Frenkel, Igor B. ^{[1
]}

Zeitlin, Anton M. ^{[2
,3
]}

机构：

[1] Yale Univ, Dept Math, New Haven, CT 06520 USA

[2] Columbia Univ, Dept Math, New York, NY 10027 USA

[3] IPME RAS, St Petersburg 199178, Russia

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2013年 / 7卷 / 04期

关键词：

Semi-infinite cohomology; quantum groups; vertex operator algebras;

D O I：

10.4171/JNCG/142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct the quantum group GL(q)(2) as the semi-infinite cohomology of the tensor product of two braided vertex operator algebras based on the algebra W-2 with complementary central charges c + (c) over bar = 28. The conformal field theory version of the Laplace operator on the quantum group is also obtained.

引用

页码：1007 / 1026

页数：20

共 12 条

[1]

Feigin B., 1996, Lecture Notes in Math., V1620, P349, DOI 10.1007/BFb0094794

[2]

Frenkel Edward, 2004, MATH SURVEYS MONOGRA, V88

[3] SEMI-INFINITE COHOMOLOGY AND STRING THEORY [J].