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Determinants of Laplacians in real line bundles connected with quantum geometry of strings

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Abstract

We use the Selberg trace formula to derive the expressions for determinants of Laplacians acting in real line bundles over a compact Riemann surface of genus p>1. Such determinants may be important in studying the structure of quantum geometry of strings.

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Authors and Affiliations

  1. Department of Computational Mathematics, Leningrad Polytechnical Institute, 195251, Leningrad, U.S.S.R.

    Yu. P. Goncharov

  2. L. D. Landau Institute for Theoretical Physics of the U.S.S.R. Academy of Sciences, 117334, Moscow, U.S.S.R.

    B. L. Spokoiny

Authors
  1. Yu. P. Goncharov
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  2. B. L. Spokoiny
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Goncharov, Y.P., Spokoiny, B.L. Determinants of Laplacians in real line bundles connected with quantum geometry of strings. Lett Math Phys 16, 263–268 (1988). https://doi.org/10.1007/BF00398963

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  • DOI: https://doi.org/10.1007/BF00398963

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