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Fusion algebra at a rational level and cohomology of nilpotent subalgebras of\(\widehat{\mathfrak{s}\mathfrak{l}}\)(2)

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Abstract

We define and calculate the fusion algebra of a WZW model at a rational level using cohomological methods. As a byproduct, we obtain a cohomological characterization of admissible representations of\(\widehat{\mathfrak{s}\mathfrak{l}}\) 2.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Moscow, Russia

    Boris Feigin

  2. Department of Mathematics, Yale University, 06520, New Haven, CT, USA

    Feodor Malikov

Authors
  1. Boris Feigin
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  2. Feodor Malikov
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Feigin, B., Malikov, F. Fusion algebra at a rational level and cohomology of nilpotent subalgebras of\(\widehat{\mathfrak{s}\mathfrak{l}}\)(2). Lett Math Phys 31, 315–325 (1994). https://doi.org/10.1007/BF00762795

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  • DOI: https://doi.org/10.1007/BF00762795

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