Generalized Jack polynomials and the AGT relations for the SU(3) group
S. Mironov+*, A. Morozov+× 1), Y. Zenkevich+* 1)
Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
*Institute for Nuclear Research of the RAS, 142190 Troitsk, Russia
×Department of Physics, Lomonosov MSU, 119991 Moscow, Russia
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 Selberg integrals.