Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914651896283136 |
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| author | Correa, Francisco Fring, Andreas Quintana, Octavio |
| author_facet | Correa, Francisco Fring, Andreas Quintana, Octavio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02613 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models Correa, Francisco Fring, Andreas Quintana, Octavio Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 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. |
| title | Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2307.02613 |