Publications at the Riemann Center

New N = 2 superspace Calogero models

Authored by

Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

Abstract

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. The key ingredients include n bosonic and 2n(n−1) fermionic 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 = 2 supersymmetrization for bosonic potentials with arbitrary repulsive two-body interactions.

Details

Organisation(s)
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
External Organisation(s)
Joint Institute for Nuclear Research
Type
Article
Journal
Journal of high energy physics
Volume
2020
ISSN
1126-6708
Publication date
27.05.2020
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Nuclear and High Energy Physics
Electronic version(s)
https://doi.org/10.48550/arXiv.1912.05989 (Access: Open )
https://doi.org/10.1007/JHEP05(2020)132 (Access: Open )
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