English

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

High Energy Physics - Theory 2015-06-18 v2 Mathematical Physics math.MP

Abstract

We find generalized Jack polynomials for the group SU(3)SU(3) 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 sl3sl_3 Selberg integrals.

Cite

@article{arxiv.1312.5732,
  title  = {Generalized Jack polynomials and the AGT relations for the $SU(3)$ group},
  author = {S. Mironov and An. Morozov and Y. Zenkevich},
  journal= {arXiv preprint arXiv:1312.5732},
  year   = {2015}
}

Comments

6 pages, refs added, typos corrected, published version

R2 v1 2026-06-22T02:32:02.534Z