$\mathcal{N}=4$ supersymmetric Calogero-Sutherland models

Abstract

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 $\mathcal{N}=2$ and $\mathcal{N}=4$ supersymmetric extensions of the their hyperbolic/trigonometric Calogero-Sutherland cousins. The bosonic core of these models are the standard Calogero-Sutherland hyperbolic/trigonometric systems.

1+6 pages; v2: to be published in PRD

References in corpus (7)

• Physics and Mathematics of Calogero particles
• Supersymmetric Calogero models by gauging
• $\mathcal{N}$-extended supersymmetric Calogero models
• Supersymmetric hyperbolic Calogero-Sutherland models by gauging
• Supersymmetric many-body Euler-Calogero-Moser model
• Extended supersymmetric Calogero model
• $\mathcal{N}=2$ supersymmetric hyperbolic Calogero-Sutherland model

Cited by in corpus (5)

• $\mathcal{N}=2$ supersymmetric hyperbolic Calogero-Sutherland model
• $\mathcal{N}=4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model
• Supersymmetric Calogero models from superfield gauging
• New $\mathcal{N}=2$ superspace Calogero models
• Integrability of supersymmetric Calogero-Moser models