Publications at the Riemann Center
Extended supersymmetric Calogero model
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
Moscow Institute of Physics and Technology
- Type
- Article
- 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
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1812.10168 (Access:
Open
)
https://doi.org/10.1016/j.physletb.2019.03.004 (Access: Open )
https://doi.org/10.15488/4734 (Access: Open )
