dorsal/arxiv
View SchemaDiscrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
| Authors | Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini |
|---|---|
| Categories | |
| ArXiv ID | 2601.10625vv1 |
| URL | https://arxiv.org/abs/2601.10625 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We determine the complete structure of the symmetry algebras associated with the N-body Calogero-Moser system and its maximally superintegrable discretization. We prove that the discretization naturally leads to a nontrivial deformation of the continuous symmetry algebra, with the discretization parameter playing the r\^ole of a deformation parameter. This phenomenon illustrates how discrete superintegrable systems can be viewed as natural sources of deformed polynomial algebraic structures. As a byproduct of these results, we also reveal a connection between the above-mentioned symmetry algebras and the Bell polynomials, as a consequence of the trace properties.
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"abstract": "We determine the complete structure of the symmetry algebras associated with the N-body Calogero-Moser system and its maximally superintegrable discretization. We prove that the discretization naturally leads to a nontrivial deformation of the continuous symmetry algebra, with the discretization parameter playing the r\\^ole of a deformation parameter. This phenomenon illustrates how discrete superintegrable systems can be viewed as natural sources of deformed polynomial algebraic structures. As a byproduct of these results, we also reveal a connection between the above-mentioned symmetry algebras and the Bell polynomials, as a consequence of the trace properties.",
"arxiv_id": "2601.10625",
"authors": [
"Pavel Drozdov",
"Giorgio Gubbiotti",
"Danilo Latini"
],
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case",
"url": "https://arxiv.org/abs/2601.10625",
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