Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems
High Energy Physics - Theory
2018-05-09 v2 Mathematical Physics
math.MP
Abstract
supersymmetric multi-particle quantum mechanics with additional semi-dynamical spin degrees of freedom is considered. In particular, we provide an supersymmetrization of the quantum spin Calogero-Moser model, with an intrinsic mass parameter coming from the centrally-extended superalgebra . The full system admits an covariant separation into the center-of-mass sector and the quotient. We derive explicit expressions for the classical and quantum generators in both sectors as well as for the total system, and we determine the relevant energy spectra, degeneracies, and the sets of physical states.
Keywords
Cite
@article{arxiv.1801.00206,
title = {Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems},
author = {Sergey Fedoruk and Evgeny Ivanov and Olaf Lechtenfeld and Stepan Sidorov},
journal= {arXiv preprint arXiv:1801.00206},
year = {2018}
}
Comments
1+35 pages, v2: introduction extended, minor changes, published version