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Generalized Jack polynomials and the AGT relations for the SU(3) group

  • Methods of Theoretical Physics
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Abstract

We find generalized Jack polynomials for the SU(3) group and verify that their Selberg averages for several first levels are given by Nekrasov functions. To compute the averages, we derive recurrence relations for the \(\mathfrak{s}\mathfrak{l}_3 \) Selberg integrals.

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Authors and Affiliations

  1. Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia

    S. Mironov, A. Morozov & Y. Zenkevich

  2. Institute for Nuclear Research, Russian Academy of Sciences, Troitsk, Moscow region, 142190, Russia

    S. Mironov & Y. Zenkevich

  3. Faculty of Physics, Moscow State University, Moscow, 119991, Russia

    A. Morozov

Authors
  1. S. Mironov
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  2. A. Morozov
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  3. Y. Zenkevich
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Correspondence to S. Mironov.

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Mironov, S., Morozov, A. & Zenkevich, Y. Generalized Jack polynomials and the AGT relations for the SU(3) group. Jetp Lett. 99, 109–113 (2014). https://doi.org/10.1134/S0021364014020076

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  • DOI: https://doi.org/10.1134/S0021364014020076

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