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On algebraic equations satisfied by correlators in Wess-Zumino-Witten models

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Abstract

Apart from the Knizhnik-Zamolodchikov differential equations, correlation functions in Wess-Zumino-Witten models of conformal field theory satisfy a certain system of algebraic equations. We show that hypergeometric solutions of KZ equations constructed in [3] do satisfy these algebraic equations.

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References

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

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

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  3. SchechtmanV. V. and VarchenkoA. N., Hypergeometric solutions of Knizhnik-Zamolodchikov equations,Lett. Math. Phys. 20, 279 (1990); Schechtman, V. V. and Varchenko, A. N., Integral representations ofN-point conformal correlators in the WZW model, Preprint Max-Planck-Institut für Mathematik, MPI/89-51, Bonn, August 1989.

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  4. TsuchiaA., UenoK., and YamadaY.,Adv. Stud. Pure Math. 19, 459 (1989).

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  5. Beilinson, A. A. and Feigin, B. L., unpublished.

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Authors and Affiliations

  1. Institute of Solid State Physics, 142432, Chernogolovka, Moscow District, U.S.S.R.

    B. L. Feigin

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

    V. V. Schechtman

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

    A. N. Varchenko

Authors
  1. B. L. Feigin
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  2. V. V. Schechtman
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  3. A. N. Varchenko
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Feigin, B.L., Schechtman, V.V. & Varchenko, A.N. On algebraic equations satisfied by correlators in Wess-Zumino-Witten models. Lett Math Phys 20, 291–297 (1990). https://doi.org/10.1007/BF00626525

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  • DOI: https://doi.org/10.1007/BF00626525

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