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 A(2) and G(2).