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

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.

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Bibliographic Details
Published in:JETP letters 2014-03, Vol.99 (2), p.109-113
Main Authors: Mironov, S., Morozov, A., Zenkevich, Y.
Format: Article
Language:English
Subjects:
Atomic
Biological and Medical Physics
Biophysics
Methods of Theoretical Physics
Molecular
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum Information Technology
Solid State Physics
Spintronics
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Description
Summary: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.
ISSN:0021-3640
1090-6487
DOI:10.1134/S0021364014020076