Equivariant cohomology, Fock space and loop groups

被引：8

作者：

Leandre, Remi

Rogers, Alice

机构：

[1] Univ Bourgogne, Inst Math Bourgogne, F-21078 Dijon, France

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 38期

关键词：

DIFFERENTIAL FORMS; CYCLIC COHOMOLOGY; UNIQUENESS; REDUCTION; ALGEBRAS;

D O I：

10.1088/0305-4470/39/38/018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Equivariant de Rham cohomology is extended to the infinite-dimensional setting of a loop subgroup acting on a loop group, using Hida supersymmetric Fock space for the Weil algebra and Malliavin test forms on the loop group. The Mathai-Quillen isomorphism (in the BRST formalism of Kalkman) is defined so that the equivalence of various models of the equivariant de Rham cohomology can be established.

引用

页码：11929 / 11946

页数：18

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