Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models
Correa, F. 
ORCID: 0000-0003-1735-2822, Fring, A. ORCID: 0000-0002-7896-7161 & Quintana, O. (2024).
Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models.
Journal of Physics A: Mathematical and Theoretical, 57(5),
article number 055203.
doi: 10.1088/1751-8121/ad1d8f
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.
| Publication Type: | Article |
|---|---|
| Additional Information: | This is the Accepted Manuscript version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at: 10.1088/1751-8121/ad1d8f |
| Subjects: | Q Science > QC Physics |
| Departments: | School of Science & Technology School of Science & Technology > Mathematics |
| SWORD Depositor: |
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