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A bstractCalogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT$$ \mathcal{P}\mathcal{T} $$ symmetry. The interaction potential gets completely regularized, which adds… Click to show full abstract
A bstractCalogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT$$ \mathcal{P}\mathcal{T} $$ 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.
Journal Title: Journal of High Energy Physics
Year Published: 2019
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