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Hypergeometric solutions of Knizhnik-Zamolodchikov equations

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Abstract

Explicit integral formulas are presented for the solutions of Knizhnik-Zamolodchikov equations associated with an arbitrary Kac-Moody Lie algebra.

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References

  1. Kac, V. G.,Infinite Dimensional Lie Algebras, Cambridge University Press, 1985.

  2. KnizhnikV. G. and ZamolodchikovA. B.,Nucl. Phys. B247, 83 (1984).

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  3. ChristeP. and FlumeR.,Nucl. Phys. B282, 466 (1987).

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  4. Schechtman, V. V. and Varchenko, A. N., Integral representations ofN-point conformal correlators in the WZW model, Max-Planck-Institut für Mathematik, August 1989, Preprint MPI/89-51.

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Authors and Affiliations

  1. Institute of Problems of Microelectronics Technology and Superpure Materials, 142432, Chernogolovka, Moscow District, U.S.S.R.

    V. V. Schechtman

  2. Moscow Institute of Gas and Oil, Leninsky prospekt 65, 117917, Moscow, U.S.S.R.

    A. N. Varchenko

Authors
  1. V. V. Schechtman
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  2. A. N. Varchenko
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Schechtman, V.V., Varchenko, A.N. Hypergeometric solutions of Knizhnik-Zamolodchikov equations. Lett Math Phys 20, 279–283 (1990). https://doi.org/10.1007/BF00626523

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  • DOI: https://doi.org/10.1007/BF00626523

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