Publications at the Riemann Center

Extended supersymmetric Calogero model

authored by
Sergey Krivonos, Olaf Lechtenfeld, Alexander Provorov, Anton Sutulin
Abstract

We present a surprising redefinition of matrix fermions which brings the supercharges of the N-extended supersymmetric An−1 Calogero model introduced in [1] to the standard form maximally cubic in the fermions. The complexity of the model is transferred to a non-canonical and nonlinear conjugation property of the fermions. Employing the new cubic supercharges, we apply a supersymmetric generalization of a “folding” procedure for A2n−1⊕A1 to explicitly construct the supercharges and Hamiltonian for arbitrary even-N supersymmetric extensions of the Bn, Cn and Dn rational Calogero models. We demonstrate that all considered models possess a dynamical osp(N|2) superconformal symmetry.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
External Organisation(s)
Joint Institute for Nuclear Research (JINR)
Moscow Institute of Physics and Technology
Type
Artikel
Journal
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume
791
Pages
385-389
No. of pages
5
ISSN
0370-2693
Publication date
10.04.2019
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Electronic version(s)
https://doi.org/10.48550/arXiv.1812.10168 (Access: Offen)
https://doi.org/10.1016/j.physletb.2019.03.004 (Access: Offen)
https://doi.org/10.15488/4734 (Access: Offen)