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arXiv · 1812.02643

Supersymmetric V-systems

Georgios Antoniou·Misha Feigin
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Abstract

We construct ${\mathcal N}=4 \,$ $\, D(2,1;α)$ 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 $BC_N$.

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BibTeXRIS

Georgios Antoniou, Misha Feigin. 2019-02-27. Supersymmetric V-systems. https://doi.org/10.1007/jhep02(2019)115

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