Bispectrality of $AG_2$ Calogero-Moser-Sutherland system
Mathematical Physics
2022-12-07 v1 math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We consider the generalised Calogero-Moser-Sutherland quantum integrable system associated to the configuration of vectors , which is a union of the root systems and . 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.
Keywords
Cite
@article{arxiv.2204.03677,
title = {Bispectrality of $AG_2$ Calogero-Moser-Sutherland system},
author = {Misha Feigin and Martin Vrabec},
journal= {arXiv preprint arXiv:2204.03677},
year = {2022}
}
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25 pages