Discrete Torsion Phases as Topological Actions

被引：0

作者：

Kiyonori Gomi

Yuji Terashima

机构：

[1] University of Texas at Austin,Department of Mathematics

[2] Tokyo Institute of Technology,Department of Mathematics

来源：

Communications in Mathematical Physics | 2009年 / 287卷

关键词：

Open Cover; Good Cover; Twisted Sector; Noncommutative Space; Discrete Torsion;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we show that discrete torsion phases in string orbifold partition functions, and membrane discrete torsion phases, are topological actions on the simplicial manifolds associated to orbifold group actions. For this purpose, we introduce an integration theory of smooth Deligne cohomology on a general simplicial manifold, and prove that the integration induces a well-defined paring between the smooth Deligne cohomology and the singular cycles.

引用

页码：889 / 901

页数：12