Publications at the Riemann Center

Supersymmetric many-body Euler–Calogero–Moser model

Authored by

Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

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.

Details

Organisation(s)
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
External Organisation(s)
Joint Institute for Nuclear Research
RAS - Saint Petersburg Department of Steklov Institute of Mathematics
Type
Article
Journal
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume
790
Pages
191-196
No. of pages
6
ISSN
0370-2693
Publication date
10.03.2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Nuclear and High Energy Physics
Electronic version(s)
https://doi.org/10.1016/j.physletb.2019.01.018 (Access: Open )
https://doi.org/10.15488/5039 (Access: Open )