English

Towards elliptic deformation of $q,t$-matrix models

High Energy Physics - Theory 2021-03-23 v1

Abstract

As a necessary step in constructing elliptic matrix models, which preserve the superintegrability property <char>char<char>\sim {\rm char}, we suggest an elliptic deformation of the peculiar loci pkΔnp_k^{\Delta_n}, which play an important role in precise formulation of this property. The suggestion is to define the pkΔnp_k^{\Delta_n}-loci as elliptic functions with the right asymptotics at τi\tau\to i\infty. If this hypothesis is correct, one can move to substituting the Schur and Macdonald functions in the role of characters by the elliptic GNS and study their behavior at the deformed topological and Δ\Delta loci.

Keywords

Cite

@article{arxiv.2011.02855,
  title  = {Towards elliptic deformation of $q,t$-matrix models},
  author = {A. Mironov and A. Morozov},
  journal= {arXiv preprint arXiv:2011.02855},
  year   = {2021}
}

Comments

5 pages

R2 v1 2026-06-23T19:56:19.189Z