New N $$ \mathcal{N} $$ = 2 superspace Calogero models

Abstract Starting from the Hamiltonian formulation of N $$ \mathcal{N} $$ = 2 supersymmetric Calogero models associated with the classical A n , B n , C n and D n series and their hyperbolic/trigonometric cousins, we provide their superspace description. The key ingredients include n bosonic and 2n(...

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Bibliographic Details
Main Authors: Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2020)132
Description
Summary:Abstract Starting from the Hamiltonian formulation of N $$ \mathcal{N} $$ = 2 supersymmetric Calogero models associated with the classical A n , B n , C n and D n series and their hyperbolic/trigonometric cousins, we provide their superspace description. The key ingredients include n bosonic and 2n(n−1) fermionic N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 2 supersymmetrization for bosonic potentials with arbitrary repulsive two-body interactions.
ISSN:1029-8479