| Autor: |
Anton Galajinsky |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Journal of High Energy Physics, Vol 2024, Iss 5, Pp 1-18 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP05(2024)129 |
| Popis: |
Abstract Integrability of $$\mathcal{N}$$ = 1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials $$W\left(x\right)=\frac{2}{x}$$ , $$W\left(x\right)=\frac{2}{{\text{sin}}x}$$ , and $$W\left(x\right)=\frac{2}{{\text{sinh}}x}$$ 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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
Full text from SpringerLink