$\mathcal{N}=4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model

Abstract

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 is derived. The Lax representation for the dynamics of the $\mathcal{N}=4$ hyperbolic $\mathrm{U}(2)$-spin Calogero-Sutherland system is found. The reduction to the $\mathcal{N}=4$ supersymmetric spinless hyperbolic Calogero-Sutherland system is established.

1+15 pages; v2: comparison of N=2 and N=4 cases added

References in corpus (7)

• Physics and Mathematics of Calogero particles
• Supersymmetric Calogero models by gauging
• Calogero models and nonlocal conformal transformations
• N=4 mechanics, WDVV equations and roots
• Supersymmetric hyperbolic Calogero-Sutherland models by gauging
• Gauged spinning models with deformed supersymmetry
• Supersymmetric many-body Euler-Calogero-Moser model

Cited by in corpus (1)

• Spinning particles on 2-sphere in accord with the Bianchi classification