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arXiv · 1812.10168

Extended supersymmetric Calogero model

Sergey Krivonos·Olaf Lechtenfeld·Alexander Provorov·Anton Sutulin
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Abstract

We present a surprising redefinition of matrix fermions which brings the supercharges of the $\cal N$-extended supersymmetric $A_{n-1}$ Calogero model introduced in [1] to the standard form maximally cubic in the fermions. The complexity of the model is transferred to a non-canonical and nonlinear conjugation property of the fermions. Employing the new cubic supercharges, we apply a supersymmetric generalization of a "folding" procedure for $A_{2n-1}\oplus A_1$ to explicitly construct the supercharges and Hamiltonian for arbitrary even-$\cal N$ supersymmetric extensions of the $B_n$, $C_n$ and $D_n$ rational Calogero models. We demonstrate that all considered models possess a dynamical $osp({\cal N}|2)$ superconformal symmetry.

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Sergey Krivonos, Olaf Lechtenfeld, Alexander Provorov, Anton Sutulin. 2019-03-08. Extended supersymmetric Calogero model. https://doi.org/10.1016/j.physletb.2019.03.004

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