Supersymmetric Calogero and Calogero-Sutherland models from gauging

Abstract

Using the superfield gauging procedure, we construct new N = 2 and N = 4 superfield systems that generalize Calogero models. In the bosonic limit, these systems yield rational Calogero models and hyperbolic Calogero-Sutherland models in the N = 2 case, and their U(2) spin generalization in the N = 4 case.