Rational Ruijsenaars-Schneider model with cosmological constant; Journal of High Energy Physics; Vol. 2025
| Parent link: | Journal of High Energy Physics.— .— New York: Springer Science+Business Media LLC. Vol. 2025.— 2025.— Article number 110, 13 p. |
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| Shrnutí: | Title screen 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 Текстовый файл AM_Agreement |
| Jazyk: | angličtina |
| Vydáno: |
2025
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| On-line přístup: | https://doi.org/10.1007/JHEP01(2025)110 |
| Médium: | Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=678736 |
| Shrnutí: | Title screen 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 Текстовый файл AM_Agreement |
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| DOI: | 10.1007/JHEP01(2025)110 |