Supersymmetric hyperbolic Calogero-Sutherland models by gauging

摘要

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 A(n-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. (C) 2019 The Authors. Published by Elsevier B.V.