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Multi-pole extension for elliptic models of interacting integrable tops
Published 19 Apr 2021 in math-ph, hep-th, math.MP, and nlin.SI | (2104.08982v2)
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.
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