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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2014, Volume 99, Issue 2, Pages 115–119 DOI: https://doi.org/10.7868/S0370274X14020106
(Mi jetpl3645)
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This article is cited in 38 scientific papers (total in 38 papers)
METHODS OF THEORETICAL PHYSICS
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
DOI:
https://doi.org/10.7868/S0370274X14020106
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
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
Linking options:
https://www.mathnet.ru/eng/jetpl3645 https://www.mathnet.ru/eng/jetpl/v99/i2/p115
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