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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)
RAS - Saint Petersburg Department of Steklov Institute of Mathematics

Type

Artikel

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

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1016/j.physletb.2019.01.018 (Access: Offen)
https://doi.org/10.15488/5039 (Access: Offen)