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 A_{N −1}-type models in general and work out details for the cases of A₂ and G₂.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Universidad Austral de Chile

Type

Artikel

Journal

Journal of high energy physics

Volume

2019

ISSN

1126-6708

Publication date

05.2019

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.1903.06481 (Access: Offen)
https://doi.org/10.1007/JHEP05(2019)166 (Access: Offen)