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arXiv · 2204.03677

Bispectrality of $AG_2$ Calogero-Moser-Sutherland system

Misha Feigin·Martin Vrabec
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Abstract

We consider the generalised Calogero-Moser-Sutherland quantum integrable system associated to the configuration of vectors $AG_2$, which is a union of the root systems $A_2$ and $G_2$. We establish the existence of and construct a suitably defined Baker-Akhiezer function for the system, and we show that it satisfies bispectrality. We also find two corresponding dual difference operators of rational Macdonald-Ruijsenaars type in an explicit form.

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Misha Feigin, Martin Vrabec. 2022-04-07. Bispectrality of $AG_2$ Calogero-Moser-Sutherland system. https://doi.org/10.1007/s11040-022-09440-7

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