Supersymmetric hyperbolic Calogero-Sutherland models by gauging

DOI10.1016/J.NUCLPHYSB.2019.114633zbMATH Open1430.81103arXiv1902.08023OpenAlexW2950443094WikidataQ127900747 ScholiaQ127900747MaRDI QIDQ2295501

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Publication date: 13 February 2020

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Abstract: Novel $mathcalN=,2$ and $mathcalN=,4$ supersymmetric extensions of the Calogero-Sutherland hyperbolic systems are obtained by gauging the $mU(n)$ isometry of matrix superfield models. The bosonic core of the $mathcalN=,2$ models is the standard $A_{n-1}$ Calogero-Sutherland hyperbolic system, whereas the $mathcalN=,4$ 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 $mathcalN=,4$ model, with and without the interacting center-of-mass coordinate in the bosonic sector.

Full work available at URL: https://arxiv.org/abs/1902.08023

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