Publications at the Riemann Center

PT deformation of Calogero-Sutherland models

Authored by

Francisco Correa, Olaf Lechtenfeld

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 )
PDF
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