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

preprint2014arXivOpen access

We find generalized Jack polynomials for the group $SU(3)$ 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 $sl_3$ Selberg integrals.

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

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

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