Discrete torsion phases as topological actions

Kiyonori Gomi; Yuji Terashima

doi:10.1007/s00220-009-0736-1

Discrete torsion phases as topological actions

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	889-901
Number of pages	13
Journal	Communications in Mathematical Physics
Volume	287
Issue number	3
DOIs	https://doi.org/10.1007/s00220-009-0736-1
Publication status	Published - 2009 May 1
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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