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Characters and fusion rules forW-algebras via quantized Drinfeld-Sokolov reduction

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Abstract

Using the cohomological approach toW-algebras, we calculate characters and fusion coefficients for their representations obtained from modular invariant representations of affine algebras by the quantized Drinfeld-Sokolov reduction.

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Authors and Affiliations

  1. Department of Mathematics, Harvard University, 02138, Cambridge, MA, USA

    Edward Frenkel

  2. Department of Mathematics, M.I.T., 02139, Cambridge, MA, USA

    Victor Kac

  3. Department of Mathematics, Mie University, 514, Tsu, Japan

    Minoru Wakimoto

Authors
  1. Edward Frenkel
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  2. Victor Kac
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  3. Minoru Wakimoto
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Additional information

Supported in part by Junior Fellowship from Harvard Society of Fellows

Supported in part by NSF grants DMS-8802489 and DMS-9103792

Supported in part by RIMS-91 Project

Communicated by A. Jaffe

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Frenkel, E., Kac, V. & Wakimoto, M. Characters and fusion rules forW-algebras via quantized Drinfeld-Sokolov reduction. Commun.Math. Phys. 147, 295–328 (1992). https://doi.org/10.1007/BF02096589

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  • DOI: https://doi.org/10.1007/BF02096589

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