SU(2|1) supersymmetric multi-particle quantum mechanics with additional semi-dynamical spin degrees of freedom is considered. In particular, we provide an N= 4 supersymmetrization of the quantum U(2) spin Calogero-Moser model, with an intrinsic mass parameter coming from the centrally-extended superalgebra su^ (2 | 1). The full system admits an SU(2|1) covariant separation into the center-of-mass sector and the quotient. We derive explicit expressions for the classical and quantum 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.
CITATION STYLE
Fedoruk, S., Ivanov, E., Lechtenfeld, O., & Sidorov, S. (2018). Quantum SU(2|1) supersymmetric Calogero-Moser spinning systems. Journal of High Energy Physics, 2018(4). https://doi.org/10.1007/JHEP04(2018)043
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