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New \( \mathcal{N} \)= 2 superspace Calogero models

A preprint version of the article is available at arXiv.

Abstract

Starting from the Hamiltonian formulation of \( \mathcal{N} \) = 2 supersymmetric Calogero models associated with the classical An, Bn, Cn and Dn series and their hyperbolic/trigonometric cousins, we provide their superspace description. The key ingredients include n bosonic and 2n(n−1) fermionic \( \mathcal{N} \) = 2 superfields, the latter being subject to a nonlinear chirality constraint. This constraint has a universal form valid for all Calogero models. With its help we find more general supercharges (and a superspace Lagrangian), which provide the \( \mathcal{N} \) = 2 supersymmetrization for bosonic potentials with arbitrary repulsive two-body interactions.

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Correspondence to Olaf Lechtenfeld.

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Krivonos, S., Lechtenfeld, O. & Sutulin, A. New \( \mathcal{N} \)= 2 superspace Calogero models. J. High Energ. Phys. 2020, 132 (2020). https://doi.org/10.1007/JHEP05(2020)132

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  • DOI: https://doi.org/10.1007/JHEP05(2020)132

Keywords

  • Extended Supersymmetry
  • Superspaces
  • Integrable Hierarchies