Remarks on integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929323129176064 |
|---|---|
| author | Galajinsky, Anton |
| author_facet | Galajinsky, Anton |
| contents | Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials W(x)=2/x, W(x)=2/sin(x), and W(x)=2/sinh(x) 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09204 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Remarks on integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models Galajinsky, Anton Exactly Solvable and Integrable Systems High Energy Physics - Theory Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials W(x)=2/x, W(x)=2/sin(x), and W(x)=2/sinh(x) 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. |
| title | Remarks on integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models |
| topic | Exactly Solvable and Integrable Systems High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.09204 |