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arXiv · 1902.08023

Supersymmetric hyperbolic Calogero-Sutherland models by gauging

Sergey Fedoruk·Evgeny Ivanov·Olaf Lechtenfeld
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Abstract

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

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Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld. 2019-05-10. Supersymmetric hyperbolic Calogero-Sutherland models by gauging. https://doi.org/10.1016/j.nuclphysb.2019.114633

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