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arxiv: 1312.5732 · v2 · pith:SZH6CPJVnew · submitted 2013-12-19 · ✦ hep-th · math-ph· math.MP

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

classification ✦ hep-th math-phmath.MP
keywords averagesgeneralizedgroupjackpolynomialsrelationsselbergcompute
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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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