Details
| Original language | English |
|---|---|
| Article number | 132 |
| Journal | Journal of high energy physics |
| Volume | 2020 |
| Issue number | 5 |
| Publication status | Published - 27 May 2020 |
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.
Keywords
- Extended Supersymmetry, Integrable Hierarchies, Superspaces
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2020, No. 5, 132, 27.05.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - New N = 2 superspace Calogero models
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
AU - Sutulin, Anton
N1 - Funding Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
PY - 2020/5/27
Y1 - 2020/5/27
N2 - 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.
AB - 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.
KW - Extended Supersymmetry
KW - Integrable Hierarchies
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=85085558962&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1912.05989
DO - 10.48550/arXiv.1912.05989
M3 - Article
AN - SCOPUS:85085558962
VL - 2020
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 5
M1 - 132
ER -