N=4 supersymmetric Calogero-Sutherland models

@article{Krivonos2020N4S,
  title={N=4
 supersymmetric Calogero-Sutherland models},
  author={Sergey Krivonos and Olaf Lechtenfeld},
  journal={Physical Review D},
  year={2020}
}
Starting from the Hamiltonian formulation of supersymmetric Calogero models associated with the classical $A_n$, $B_n$, $C_n$ and $D_n$ series we construct the ${\cal N}{=}\,2$ and ${\cal N}{=}\,4$ supersymmetric extensions of the their hyperbolic/trigonometric Calogero-Sutherland cousins. The bosonic core of these models are the standard Calogero-Sutherland hyperbolic/trigonometric systems. 
N = 2 Calogero models within superspace
We provide a superspace description of N = 2 supersymmetric Calogero models associated with the classical 𝐴 𝑛 , 𝐵 𝑛 , 𝐶 𝑛 and 𝐷 𝑛 Lie algebras and their hyperbolic/trigonometric versions.
New $$ \mathcal{N} $$= 2 superspace Calogero models
Starting from the Hamiltonian formulation of ${\cal N}{=}\,2$ supersymmetric Calogero models associated with the classical $A_n, B_n, C_n$ and $D_n$ series and their hyperbolic/trigonometric cousins,
Integrability of supersymmetric Calogero–Moser models
$\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model
The $\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model with odd matrix fields is examined. Explicit form of the $\mathcal{N}{=}\,4$ supersymmetry generators

References

SHOWING 1-10 OF 10 REFERENCES
Supersymmetric hyperbolic Calogero-Sutherland models by gauging
N=2 supersymmetric hyperbolic Calogero-Sutherland model
Supersymmetric many-body Euler–Calogero–Moser model
Supersymmetric Calogero models by gauging
New superconformal extensions of d = 1 Calogero-type systems are obtained by gauging the U(n) isometry of matrix superfield models. We consider the cases of N = 1, N = 2, and N = 4 as one-dimensional
N-extended supersymmetric Calogero models
A generalisation of the Calogero-Moser system
Gauging N=4 supersymmetric mechanics
Extended supersymmetric Calogero model
An integrable marriage of the Euler equations with the Calogero-Moser system
The physics and mathematics of Calogero particles
We give a review of the mathematical and physical properties of the celebrated family of Calogero-like models and related spin chains.