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Fock space resolutions of the Virasoro highest weight modules withc ≤ 1

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Abstract

We extend Felder's construction of Fock space resolutions for the Virasoro minimal models to all irreducible modules withc≤1. In particular, we provide resolutions for the representations corresponding to the boundary and exterior of the Kac table.

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Authors and Affiliations

  1. CERN-Theory Division, CH-1211, Geneva, 23, Switzerland

    Peter Bouwknegt

  2. Department of Physics, Brandeis University, 02254, Waltham, MA, U.S.A.

    Jim McCarthy

  3. Department of Physics, University of Southern California, 90089-0484, Los Angeles, CA, U.S.A.

    Krzysztof Pilch

Authors
  1. Peter Bouwknegt
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  2. Jim McCarthy
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  3. Krzysztof Pilch
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Additional information

Supported by the NSF Grant #PHY-88-04561.

Supported in part by the Department of Energy Contract #DE-FG03-84ER-40168 and by the USC Faculty Research and Innovation Fund.

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Bouwknegt, P., McCarthy, J. & Pilch, K. Fock space resolutions of the Virasoro highest weight modules withc ≤ 1. Lett Math Phys 23, 193–204 (1991). https://doi.org/10.1007/BF01885497

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  • DOI: https://doi.org/10.1007/BF01885497

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