Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems
| Autor: | Fedoruk, Sergey, Ivanov, Evgeny, Lechtenfeld, Olaf, Sidorov, Stepan |
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| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP04(2018)043 |
| Popis: | ${\rm SU}(2|1)$ supersymmetric multi-particle quantum mechanics with additional semi-dynamical spin degrees of freedom is considered. In particular, we provide an $\mathcal{N}{=}\,4$ supersymmetrization of the quantum ${\rm U}(2)$ spin Calogero-Moser model, with an intrinsic mass parameter coming from the centrally-extended superalgebra $\widehat{su}(2|1)$. The full system admits an ${\rm SU}(2|1)$ covariant separation into the center-of-mass sector and the quotient. We derive explicit expressions for the classical and quantum ${\rm SU}(2|1)$ generators in both sectors as well as for the total system, and we determine the relevant energy spectra, degeneracies, and the sets of physical states. Comment: 1+35 pages, v2: introduction extended, minor changes, published version |
| Databáze: | arXiv |
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