Skip to main content
SpringerLink
Log in

Discrete Torsion Phases as Topological Actions

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Alvarez O.: Topological quantization and cohomology. Commun. Math. Phys. 100(2), 279–309 (1985)

    Article  MATH  ADS  Google Scholar 

  2. Brylinski, J.-L.: Loop spaces, characteristic classes and geometric quantization. Progress in Mathematics, 107. Boston, MA: Birkhäuser Boston, Inc., 1993

  3. Douglas, M.R.: D-branes and Discrete Torsion. http://arXiv.org/list/hep-th/9807235, 1998

  4. Gawȩdzki, K.: Topological actions in two-dimensional quantum field theories. In: Nonperturbative quantum field theory, NATO Adv. Sci. Inst. Ser. B Phys., 185, New York: Plenum, 1988, pp. 101–141

  5. Gomi K., Terashima Y.: Higher-dimensional parallel transports. Math. Res. Lett. 8(1-2), 25–33 (2001)

    MATH  MathSciNet  Google Scholar 

  6. Sharpe, E.: Discrete torsion. Phys. Rev. D (3) 68, no. 12, 126003, (2003) 20 pp

  7. Sharpe, E.: Analogues of discrete torsion for the M-theory three-form. Phys. Rev. D (3) 68(12), 126004, (2003) 12 pp

    Google Scholar 

  8. Vafa C.: Modular Invariance and Discrete Torsion on Orbifolds. Nucl. Phys. B 273, 592–606 (1986)

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX, 78712-0257, USA

    Kiyonori Gomi

  2. Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Oh-Okayama, Meguro-Ku, Tokyo, 152-8551, Japan

    Yuji Terashima

Authors
  1. Kiyonori Gomi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yuji Terashima
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kiyonori Gomi.

Additional information

Communicated by M. R. Douglas

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gomi, K., Terashima, Y. Discrete Torsion Phases as Topological Actions. Commun. Math. Phys. 287, 889–901 (2009). https://doi.org/10.1007/s00220-009-0736-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00220-009-0736-1

Keywords

Search

Navigation