$\mathcal{N}=4$ 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.

arXiv comment1+15 pages; v2: comparison of N=2 and N=4 cases added

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Cited by in corpus (1)

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