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An attempt to relate area-preserving diffeomorphisms to Kac-Moody algebras

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Abstract

In the same way as the Virasoro algebra can be connected with Kac-Moody algebras defined on the S 1 circle, the area-preserving diffeomorphism algebra SDiff(ℳ), where ℳ is a two-dimensional surface, acts as a derivation algebra on super Kac-Moody algebras with one or two supersymmetries. Then a Sugawara-like construction with fermions of the nonextended SDiff(ℳ) algebra is discussed.

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Author notes

  1. P. Sorba

    Present address: LAPP, BP 110, 74941, Annecy-le-Vieux Cedex, France

Authors and Affiliations

  1. Laboratoire d'Annecy-le-Vieux de Physique des Particules, IN2P3-CNRS, Chemin de Bellevue, BP 110, F-74941, Annecy-le-Vieux Cedex, France

    E. Ragoucy

  2. TH-Division, CERN, CH-1211, Geneva 23, Switzerland

    P. Sorba

Authors
  1. E. Ragoucy
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  2. P. Sorba
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Ragoucy, E., Sorba, P. An attempt to relate area-preserving diffeomorphisms to Kac-Moody algebras. Lett Math Phys 21, 329–342 (1991). https://doi.org/10.1007/BF00398331

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  • DOI: https://doi.org/10.1007/BF00398331

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