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Quantum SU(2|1) supersymmetric Calogero-Moser spinning systems

authored by
Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld, Stepan Sidorov
Abstract

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.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
External Organisation(s)
Joint Institute for Nuclear Research (JINR)
Type
Artikel
Journal
Journal of high energy physics
Volume
2018
ISSN
1126-6708
Publication date
01.04.2018
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Electronic version(s)
https://doi.org/10.1007/JHEP04(2018)043 (Access: Offen)