Abstract
We construct \( \mathcal{N}=4D\left(2,1;\ \alpha \right) \) superconformal quantum mechanical system for any configuration of vectors forming a ∨-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 BCN.
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Antoniou, G., Feigin, M. Supersymmetric V-systems. J. High Energ. Phys. 2019, 115 (2019). https://doi.org/10.1007/JHEP02(2019)115
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DOI: https://doi.org/10.1007/JHEP02(2019)115