S. Mironov, A. Morozov, Y. Zenkevich, “Generalized Jack polynomials and the AGT relations for the <nobr>$SU(3)$</nobr> group”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2014, Volume 99, Issue 2,Pages <nobr>115

This article is cited in 39 papers

METHODS OF THEORETICAL PHYSICS

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

S. Mironov^ab, A. Morozov^ac, Y. Zenkevich^ab

^a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow
^b Institute for Nuclear Research, Russian Academy of Sciences, Moscow
^c M. V. Lomonosov Moscow State University, Faculty of Physics

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 $\mathfrak{sl}_3$ Selberg integrals.

Received: 18.12.2013

Language: English

DOI: 10.7868/S0370274X14020106