Details
| Original language | English |
|---|---|
| Article number | 43 |
| Journal | Journal of high energy physics |
| Volume | 2018 |
| Issue number | 4 |
| Early online date | 9 Apr 2018 |
| Publication status | Published - Apr 2018 |
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.
Keywords
- Extended Supersymmetry, Field Theories in Lower Dimensions, Matrix Models, Superspaces
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2018, No. 4, 43, 04.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantum SU(2|1) supersymmetric Calogero-Moser spinning systems
AU - Fedoruk, Sergey
AU - Ivanov, Evgeny
AU - Lechtenfeld, Olaf
AU - Sidorov, Stepan
N1 - Funding Information: This research was partially supported by the joint DFG project LE 838/12-2 and the Heisenberg-Landau program. The work of S.F., E.I. and S.S. was partially supported by the RFBR Grant No. 16-52-12012, Russian Science Foundation Grant No. 16-12-10306 and Russian Ministry of Education and Science grant, project No. 3.1386.201. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2018/4
Y1 - 2018/4
N2 - 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.
AB - 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.
KW - Extended Supersymmetry
KW - Field Theories in Lower Dimensions
KW - Matrix Models
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=85045388262&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2018)043
DO - 10.1007/JHEP04(2018)043
M3 - Article
AN - SCOPUS:85045388262
VL - 2018
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 4
M1 - 43
ER -