Supersymmetric many-body Euler–Calogero–Moser model

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  • Joint Institute for Nuclear Research (JINR)
  • RAS - Saint Petersburg Department of Steklov Institute of Mathematics
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OriginalspracheEnglisch
Seiten (von - bis)191-196
Seitenumfang6
FachzeitschriftPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Jahrgang790
PublikationsstatusVeröffentlicht - 10 März 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.

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Supersymmetric many-body Euler–Calogero–Moser model. / Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton.
in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 790, 10.03.2019, S. 191-196.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Krivonos S, Lechtenfeld O, Sutulin A. Supersymmetric many-body Euler–Calogero–Moser model. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2019 Mär 10;790:191-196. doi: 10.1016/j.physletb.2019.01.018, 10.15488/5039
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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).

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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.

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