Remarks on integrability of N = 1 supersymmetric Ruijsenaars-Schneider three-body models; Journal of High Energy Physics; Vol. 2024, No. 5
| Parent link: | Journal of High Energy Physics.— .— New York: Springer Science+Business Media LLC. Vol. 2024, No. 5.— 2024.— Article number 129, 17 p. |
|---|---|
| Päätekijä: | |
| Yhteisötekijä: | |
| Yhteenveto: | Title screen Integrability of 𝑁 = 1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials 𝑊(𝑥)=2𝑥, 𝑊(𝑥)=2sin𝑥, and 𝑊(𝑥)=2sinh𝑥 is proven. The problem of constructing an algebraically resolvable set of Grassmann-odd constants of motion is reduced to finding a triplet of vectors such that all their scalar products can be expressed in terms of the original bosonic first integrals. The supersymmetric generalizations are used to build novel integrable (iso)spin extensions of the respective Ruijsenaars-Schneider three-body systems Текстовый файл AM_Agreement |
| Kieli: | englanti |
| Julkaistu: |
2024
|
| Aiheet: | |
| Linkit: | https://doi.org/10.1007/JHEP05(2024)129 |
| Aineistotyyppi: | Elektroninen Kirjan osa |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=672842 |
| Yhteenveto: | Title screen Integrability of 𝑁 = 1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials 𝑊(𝑥)=2𝑥, 𝑊(𝑥)=2sin𝑥, and 𝑊(𝑥)=2sinh𝑥 is proven. The problem of constructing an algebraically resolvable set of Grassmann-odd constants of motion is reduced to finding a triplet of vectors such that all their scalar products can be expressed in terms of the original bosonic first integrals. The supersymmetric generalizations are used to build novel integrable (iso)spin extensions of the respective Ruijsenaars-Schneider three-body systems Текстовый файл AM_Agreement |
|---|---|
| DOI: | 10.1007/JHEP05(2024)129 |