Discrete torsion phases as topological actions

Kiyonori Gomi, Yuji Terashima

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)889-901
Number of pages13
JournalCommunications in Mathematical Physics
Volume287
Issue number3
DOIs
Publication statusPublished - 2009 May 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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