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# High Energy Physics - Theory

# Title: Supersymmetric V-systems

(Submitted on 6 Dec 2018 (v1), last revised 27 Feb 2019 (this version, v2))

Abstract: We construct ${\mathcal N}=4 \,$ $\, D(2,1;\alpha)$ superconformal quantum mechanical system for any configuration of vectors forming a V-system. In the case of a Coxeter root system the bosonic potential of the supersymmetric Hamiltonian is the corresponding generalised Calogero-Moser potential. We also construct supersymmetric generalised trigonometric Calogero-Moser-Sutherland Hamiltonians for some root systems including $BC_N$.

## Submission history

From: Misha Feigin [view email]**[v1]**Thu, 6 Dec 2018 16:24:07 GMT (27kb)

**[v2]**Wed, 27 Feb 2019 20:42:54 GMT (28kb)

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