Details
| Original language | English |
|---|---|
| Pages (from-to) | 191-196 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 790 |
| Publication status | Published - 10 Mar 2019 |
Abstract
We explicitly construct a supersymmetric so(n) spin-Calogero model with an arbitrary even number N of supersymmetries. It features [Formula presented]Nn(n+1) rather than Nn fermionic coordinates and a very simple structure of the supercharges and the Hamiltonian. The latter, together with additional conserved currents, form an osp(N|2) superalgebra. We provide a superspace description for the simplest case, namely N=2 supersymmetry. The reduction to an N-extended supersymmetric goldfish model is also discussed.
Keywords
- Euler–Calogero–Moser system, N-extended supersymmetry, Spin-Calogero models
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 790, 10.03.2019, p. 191-196.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Supersymmetric many-body Euler–Calogero–Moser model
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
AU - Sutulin, Anton
N1 - Funding information: We are grateful to V. Gerdt and A. Khvedelidze for stimulating discussions. This work was partially supported by the Heisenberg–Landau program. The work of S.K. was partially supported by Russian Science Foundation grant 14-11-00598, the one of A.S. by RFBR grants 18-02-01046 and 18-52-05002 Arm-a. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). We are grateful to V. Gerdt and A. Khvedelidze for stimulating discussions. This work was partially supported by the Heisenberg–Landau program. The work of S.K. was partially supported by Russian Science Foundation grant 14-11-00598 , the one of A.S. by RFBR grants 18-02-01046 and 18-52-05002 Arm-a . This article is based upon work from COST Action MP1405 QSPACE , supported by COST (European Cooperation in Science and Technology).
PY - 2019/3/10
Y1 - 2019/3/10
N2 - We explicitly construct a supersymmetric so(n) spin-Calogero model with an arbitrary even number N of supersymmetries. It features [Formula presented]Nn(n+1) rather than Nn fermionic coordinates and a very simple structure of the supercharges and the Hamiltonian. The latter, together with additional conserved currents, form an osp(N|2) superalgebra. We provide a superspace description for the simplest case, namely N=2 supersymmetry. The reduction to an N-extended supersymmetric goldfish model is also discussed.
AB - We explicitly construct a supersymmetric so(n) spin-Calogero model with an arbitrary even number N of supersymmetries. It features [Formula presented]Nn(n+1) rather than Nn fermionic coordinates and a very simple structure of the supercharges and the Hamiltonian. The latter, together with additional conserved currents, form an osp(N|2) superalgebra. We provide a superspace description for the simplest case, namely N=2 supersymmetry. The reduction to an N-extended supersymmetric goldfish model is also discussed.
KW - Euler–Calogero–Moser system
KW - N-extended supersymmetry
KW - Spin-Calogero models
UR - http://www.scopus.com/inward/record.url?scp=85060331109&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2019.01.018
DO - 10.1016/j.physletb.2019.01.018
M3 - Article
AN - SCOPUS:85060331109
VL - 790
SP - 191
EP - 196
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -