Extended supersymmetric Calogero model

Autor: Sergey Krivonos, Olaf Lechtenfeld, Alexander Provorov, Anton Sutulin
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Physics Letters B, Vol 791, Iss , Pp 385-389 (2019)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2019.03.004
Popis: We present a surprising redefinition of matrix fermions which brings the supercharges of the N-extended supersymmetric An−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 A2n−1⊕A1 to explicitly construct the supercharges and Hamiltonian for arbitrary even-N supersymmetric extensions of the Bn, Cn and Dn rational Calogero models. We demonstrate that all considered models possess a dynamical osp(N|2) superconformal symmetry. Keywords: Calogero models, Extended supersymmetry
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