English

Cut-and-join operators and Macdonald polynomials from the 3-Schur functions

High Energy Physics - Theory 2019-07-09 v4 Mathematical Physics math.MP Quantum Algebra

Abstract

We demonstrate in some detail how Macdonald polynomials emerge from the recently introduced 3-Schur functions when the plane-partition vector time-variables are projected onto the ordinary scalar times under non-vanishing angles, which depend on qq and tt. We also explain how the cut-and-join operators smoothly interpolate between different cases. Most of consideration is restricted to level two.

Keywords

Cite

@article{arxiv.1810.00395,
  title  = {Cut-and-join operators and Macdonald polynomials from the 3-Schur functions},
  author = {A. Morozov},
  journal= {arXiv preprint arXiv:1810.00395},
  year   = {2019}
}

Comments

21 pages

R2 v1 2026-06-23T04:23:31.134Z