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arXiv · 2307.02613

Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models

Francisco Correa·Andreas Fring·Octavio Quintana
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Abstract

We propose generalizations of Calogero models that exhibit invariance with respect to the infinite Weyl groups of affine, hyperbolic, and Lorentzian types. Our approach involves deriving closed analytic formulas for the action of the associated Coxeter elements of infinite order acting on arbitrary roots within their respective root spaces. These formulas are then utilized in formulating the new type of Calogero models.

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Francisco Correa, Andreas Fring, Octavio Quintana. 2023-07-05. Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models. https://doi.org/10.1088/1751-8121%2Fad1d8f

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