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Pis'ma v Zh. Èksper. Teoret. Fiz., 2014, Volume 99, Issue 2, Pages 115–119 (Mi jetpl3645)  

This article is cited in 24 scientific papers (total in 24 papers)


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

S. Mironovab, A. Morozovac, Y. Zenkevichab

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.


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English version:
Journal of Experimental and Theoretical Physics Letters, 2014, 99:2, 109–113

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Document Type: Article
Received: 18.12.2013
Language: English

Citation: S. Mironov, A. Morozov, Y. Zenkevich, “Generalized Jack polynomials and the AGT relations for the $SU(3)$ group”, Pis'ma v Zh. Èksper. Teoret. Fiz., 99:2 (2014), 115–119; JETP Letters, 99:2 (2014), 109–113

Citation in format AMSBIB
\by S.~Mironov, A.~Morozov, Y.~Zenkevich
\paper Generalized Jack polynomials and the AGT relations
for the $SU(3)$ group
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2014
\vol 99
\issue 2
\pages 115--119
\jour JETP Letters
\yr 2014
\vol 99
\issue 2
\pages 109--113

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