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arXiv · 2404.01844

Generalized Calogero-Moser system and supergroup gauge origami

Taro Kimura·Norton Lee
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Abstract

We study the integrability and the Bethe/Gauge correspondence of the Generalized Calogero-Moser system proposed by Berntson, Langmann and Lenells which we call the elliptic quadruple Calogero-Moser system (eqCM). We write down the Dunkl operators which give commuting Hamiltonians of the quantum integrable system. We identify the gauge theory in correspondence is a supergroup version of the gauge origami, from which we construct the transfer matrix of the eqCM system.

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Taro Kimura, Norton Lee. 2024-04-02. Generalized Calogero-Moser system and supergroup gauge origami. https://doi.org/10.1016/j.nuclphysb.2024.116604

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