BRST model for equivariant cohomology and representatives for the equivariant thom class
BRST model for equivariant cohomology and representatives for the equivariant thom class
复制标题
等变上同调的 BRST 模型和等变 thom 类的代表
DOI：
10.1007/bf02096949
复制
发表时间：
1993
影响因子：
2.4
通讯作者：
Jaap Kalkman
中科院分区：
文献类型：
--
作者：
Jaap Kalkman
本文在数学环境中研究了拓扑场论的 BRST 形式。 BRST 算子是作为连接 Weil 模型和等变上同调的 Cartan 模型的单参数算子族的成员而获得的。此外，BRST 算子被识别为等变导数及其傅立叶变换之和。使用它，相关向量丛的 Thom 类的 Mathai-Quillen 代表可以作为简单 BRST 闭元的傅里叶变换获得。
In this paper the BRST formalism for topological field theories is studied in a mathematical setting. The BRST operator is obtained as a member of a one parameter family of operators connecting the Weil model and the Cartan model for equivariant cohomology. Furthermore, the BRST operator is identified as the sum of an equivariant derivation and its Fourier transform. Using this, the Mathai-Quillen representative for the Thom class of associated vector bundles is obtained as the Fourier transform of a simple BRST closed element.