Skip to main content
SpringerLink
Log in

Superconformal geometry and string theory

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

Abstract

We give a formula for the determinant of the super Laplace operator in a holomorphic hermitian line bundle over a superconformal manifold. This is then used to obtain an expression for the fermion string measure.

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. Baranov, M.A., Schwarz, A.S.: Multiloop contribution to string theory. Pis'ma v ZhETF42:8, 340 (1985) [JETP Letters42, 419 (1986)]

    Google Scholar 

  2. Beilinson, A.A., Manin, Yu.I.: The Mumford form and the Polyakov measure in string theory. Commun. Math. Phys.107, 359 (1986)

    Google Scholar 

  3. Baranov, M.A., Schwarz, A.S.: On the multiloop contribution to the string theory. Int. J. Mod. Phys. A3, 28 (1987)

    Google Scholar 

  4. Deligne, P.: Le determinant de la cohomologie. Contemp. Math.67, 93 (1987)

    Google Scholar 

  5. Rosly, A.A., Schwarz, A.S., Voronov, A.A.: Geometry of superconformal manifolds. Commun. Math. Phys.113, 129–152 (1988)

    Google Scholar 

  6. Voronov, A.A.: A formula for the Mumford measure in superstring theory. Funk. Anal. Prilozh.22, 67 (1988)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya, 25, SU-117259, Moscow, USSR

    A. A. Rosly, A. S. Schwarz & A. A. Voronov

Authors
  1. A. A. Rosly
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. S. Schwarz
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. A. Voronov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Ya. G. Sinai

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rosly, A.A., Schwarz, A.S. & Voronov, A.A. Superconformal geometry and string theory. Commun.Math. Phys. 120, 437–450 (1989). https://doi.org/10.1007/BF01225506

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01225506

Keywords

Search

Navigation