Rational Ruijsenaars-Schneider model with cosmological constant
Abstract The Ruijsenaars-Schneider models are integrable dynamical realizations of the Poincaré group in 1 + 1 dimensions, which reduce to the Calogero and Sutherland systems in the nonrelativistic limit. In this work, a possibility to construct a one-parameter deformation of the Ruijsenaars-Schneid...
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| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)110 |
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| author | Anton Galajinsky |
| author_facet | Anton Galajinsky |
| author_sort | Anton Galajinsky |
| collection | DOAJ |
| description | Abstract The Ruijsenaars-Schneider models are integrable dynamical realizations of the Poincaré group in 1 + 1 dimensions, which reduce to the Calogero and Sutherland systems in the nonrelativistic limit. In this work, a possibility to construct a one-parameter deformation of the Ruijsenaars-Schneider models by uplifting the Poincaré algebra in 1 + 1 dimensions to the anti de Sitter algebra is studied. It is shown that amendments including a cosmological constant are feasible for the rational variant, while the hyperbolic and trigonometric systems are ruled out by our analysis. The issue of integrability of the deformed rational model is discussed in some detail. A complete proof of integrability remains a challenge. |
| format | Article |
| id | doaj-art-911f2bcaf06e4c939d600fd283766d08 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-911f2bcaf06e4c939d600fd283766d082025-02-09T12:08:08ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025111410.1007/JHEP01(2025)110Rational Ruijsenaars-Schneider model with cosmological constantAnton Galajinsky0School of Physics, Tomsk Polytechnic UniversityAbstract The Ruijsenaars-Schneider models are integrable dynamical realizations of the Poincaré group in 1 + 1 dimensions, which reduce to the Calogero and Sutherland systems in the nonrelativistic limit. In this work, a possibility to construct a one-parameter deformation of the Ruijsenaars-Schneider models by uplifting the Poincaré algebra in 1 + 1 dimensions to the anti de Sitter algebra is studied. It is shown that amendments including a cosmological constant are feasible for the rational variant, while the hyperbolic and trigonometric systems are ruled out by our analysis. The issue of integrability of the deformed rational model is discussed in some detail. A complete proof of integrability remains a challenge.https://doi.org/10.1007/JHEP01(2025)110Integrable Field TheoriesScale and Conformal SymmetriesSpace-Time Symmetries |
| spellingShingle | Anton Galajinsky Rational Ruijsenaars-Schneider model with cosmological constant Journal of High Energy Physics Integrable Field Theories Scale and Conformal Symmetries Space-Time Symmetries |
| title | Rational Ruijsenaars-Schneider model with cosmological constant |
| title_full | Rational Ruijsenaars-Schneider model with cosmological constant |
| title_fullStr | Rational Ruijsenaars-Schneider model with cosmological constant |
| title_full_unstemmed | Rational Ruijsenaars-Schneider model with cosmological constant |
| title_short | Rational Ruijsenaars-Schneider model with cosmological constant |
| title_sort | rational ruijsenaars schneider model with cosmological constant |
| topic | Integrable Field Theories Scale and Conformal Symmetries Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP01(2025)110 |
| work_keys_str_mv | AT antongalajinsky rationalruijsenaarsschneidermodelwithcosmologicalconstant |