W-algebras and chiral differential operators at the critical level

被引：0

作者：

Fortuna, Giorgia ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

JOURNAL OF ALGEBRA | 2013年 / 385卷

关键词：

Representation theory; Chiral algebras; Center at the critical level; Lie algebroid; Quantization of Poisson structure; Chiral differential operators; Semi-infinite cohomology; Chiral extensions; Chiral envelope; W-algebras; MODULES;

D O I：

10.1016/j.jalgebra.2013.03.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A(crit) be the chiral algebra corresponding to the affine Kac-Moody algebra at the critical level (g) over cap (crit). Let 3(crit) be the center of A(crit). The commutative chiral algebra 3crit admits a canonical deformation into a non-commutative chiral algebra W-(h) over bar. In this paper we will express the resulting first order deformation via the chiral algebra D-crit of chiral differential operators on G(crit) at the critical level. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：164 / 191

页数：28

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