Supersymmetric hyperbolic Calogero-Sutherland models by gauging
Abstract
Novel N=\,2 and N=\,4 supersymmetric extensions of the Calogero-Sutherland hyperbolic systems are obtained by gauging the U(n) isometry of matrix superfield models. The bosonic core of the N=\,2 models is the standard An-1 Calogero-Sutherland hyperbolic system, whereas the N=\,4 model contains additional semi-dynamical spin variables and is an extension of the U(2) spin Calogero-Sutherland hyperbolic system. We construct two different versions of the N=\,4 model, with and without the interacting center-of-mass coordinate in the bosonic sector.
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