Multi-pole extension for elliptic models of interacting integrable tops

E. Trunina; A. Zotov

doi:10.1134/S0040577921100020

Multi-pole extension for elliptic models of interacting integrable tops

Mathematical Physics 2021-10-22 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Authors: E. Trunina , A. Zotov

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Abstract

We review and give detailed description for ${\rm gl}_{NM}$ Gaudin models related to holomorphic vector bundles of rank $NM$ and degree $N$ over elliptic curve with $n$ punctures. Then we introduce their generalizations constructed by means of $R$ -matrices satisfying the associative Yang-Baxter equation. A natural extension of the obtained models to the Schlesinger systems is given as well.

Keywords

yang-baxter equation integrable systems positive maps in quantum information

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@article{arxiv.2104.08982,
  title  = {Multi-pole extension for elliptic models of interacting integrable tops},
  author = {E. Trunina and A. Zotov},
  journal= {arXiv preprint arXiv:2104.08982},
  year   = {2021}
}

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25 pages, minor changes

Multi-pole extension for elliptic models of interacting integrable tops

Abstract

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