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PT deformation of Calogero-Sutherland models
release_rev_74f5f867-c421-49c5-9f94-aa323eeeb439
by
F. Correa,
O. Lechtenfeld,
University, My
Published
by Heidelberg : Springer Verlag.
2020
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. © 2019, The Author(s).
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DOI
10.15488/10177
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