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Modular-invariant functionals in membrane theory

  • Elementary Particle Physics and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

The vacuum energy of a bosonic membrane is calculated on a flat background MD−2×T2, where MD) is a D-dimensional Minkowski spacetime, and T2 is a 2-torus. The vacuum energy is represented in a modularinvariant form. The vacuum energy of a supermembrane (D = 11) is also given in modular-invariant form.

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Authors and Affiliations

  1. Leningrad Polytechnic Institute, USSR

    A. A. Bytsenko & S. D. Odintsov

  2. Lenin Komsomol Tomsk Pedagogical Institute, USSR

    A. A. Bytsenko & S. D. Odintsov

Authors
  1. A. A. Bytsenko
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  2. S. D. Odintsov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 70–74, February, 1991.

One of the authors (S. D. Odintsov) thanks P. Townsend, K. Stelle, and R. Tucker for a helpful discussion of the questions touched upon in this paper.

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Bytsenko, A.A., Odintsov, S.D. Modular-invariant functionals in membrane theory. Soviet Physics Journal 34, 143–147 (1991). https://doi.org/10.1007/BF00940955

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  • DOI: https://doi.org/10.1007/BF00940955

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