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.
Highlights
Starting from the Hamiltonian formulation of 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
With its help we find more general supercharges, which provide the N = 2 supersymmetrization for bosonic potentials with arbitrary repulsive two-body interactions
JHEP05(2020)132 the general supersymmetry structure and clarify the role played by the additional matrix fermions
Summary
JHEP05(2020)132 the general supersymmetry structure and clarify the role played by the additional matrix fermions. Our N = 2 supersymmetric Calogero models of A-type [14, 15] are defined by a generic form of their supercharges, n n For the B, C and D-type models, the supercharges take a more complicated generic form (including Πij), n n i=1 i=j (g + Πjj) f (zij) + f (zij) Πij ξji f (zij)
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