  Calogero-Sutherland models of $N$ identical particles on a circle are
deformed away from hermiticity but retaining a $\cal PT$ 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 $G_2$.
