Publications at the Riemann Center
PT deformation of Calogero-Sutherland models
Abstract
Calogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT symmetry. The interaction potential gets completely regularized, which adds to the energy spectrum an infinite tower of previously non-normalizable states. For integral values of the coupling, extra degeneracy occurs and a nonlinear conserved supersymmetry charge enlarges the ring of Liouville charges. The integrability structure is maintained. We discuss the AN −1-type models in general and work out details for the cases of A2 and G2.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Universidad Austral de Chile
- Type
- Article
- Journal
- Journal of high energy physics
- Volume
- 2019
- ISSN
- 1126-6708
- Publication date
- 05.2019
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1903.06481 (Access:
Open
)
https://doi.org/10.1007/JHEP05(2019)166 (Access: Open )