Skip to main content
Log in

Symmetric Products, Permutation Orbifolds and Discrete Torsion

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

Abstract

Symmetric product orbifolds, i.e. permutation orbifolds of the full symmetric group S n are considered by applying the general techniques of permutation orbifolds. Generating functions for various quantities, e.g. the torus partition functions and the Klein-bottle amplitudes are presented, as well as a simple expression for the discrete torsion coefficients.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dijkgraaf, R., Moore, G., Verlinde, E., and Verlinde, H.: Comm. Math. Phys. 185(1997), 197.

    Google Scholar 

  2. Dijkgraaf, R.: hep-th/9912101.

  3. Dijkgraaf, R., Verlinde, E., and Verlinde, H.: Nuclear Phys. B 500(1997), 43.

    Google Scholar 

  4. Dijkgraaf, R.: hep-th/9912104.

  5. Klemm, A. and Schmidt, M.G.: Phys. Lett. B 245(1990), 53.

    Google Scholar 

  6. Borisov, L., Halpern, M.P., and Schweigert, C.: Internat. J. Modern Phys. A 13(1998), 125.

    Google Scholar 

  7. Bantay, P.: Phys. Lett. B 419(1998), 175;Nuclear Phys. B 633 (2002), 3659.

    Google Scholar 

  8. Stanley, R.P.: Enumerative Combinatorics, Vol. 2, Cambridge Stud. Adv. Math. 62, Cambridge Univ. Press, 1999.

  9. Farkas, H.M. and Kra, I.: Riemann Surfaces, Springer, New York, 1992.

    Google Scholar 

  10. Bantay, P.: Lett. Math. Phys. 57(2001), 1.

    Google Scholar 

  11. Serre, J-P.: A Course in Arithmetic, Springer, New York, 1973.

    Google Scholar 

  12. Vafa, C.: Nucl. Phys. B 273(1986), 592.

    Google Scholar 

  13. Vafa, C. and Witten, E.: J. Geom. Phys. 15(1995), 189.

    Google Scholar 

  14. Douglas, M.R.: hep-th/9807235.

  15. Dijkgraaf, R. and Witten, E.: Comm. Math. Phys. 129(1990), 393.

    Google Scholar 

  16. Aspinwall, P.S.: J. High Energy Phys. 0012(2000), 029; Feng, B., Hanany, A., He, Y.-H., and Prezas, N.: J. High Energy Phys. 0104 (2001), 037.

    Google Scholar 

  17. Bott, R. and Tu, W.: Differential Forms in Algebraic Topology, Springer, New York, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bantay, P. Symmetric Products, Permutation Orbifolds and Discrete Torsion. Letters in Mathematical Physics 63, 209–218 (2003). https://doi.org/10.1023/A:1024453119772

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024453119772

Navigation