mathcal{N}{=}\,4 supersymmetric U(2)-spin hyperbolic Calogero-Sutherland model
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✦ hep-th
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mathcalcalogero-sutherlandhyperbolicmathrmspinsupersymmetricmodelsystem
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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.
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${\cal N}{=}\,4$ supersymmetric multiparticle systems based on indecomposable multiplets
New N=4 supersymmetric generalizations of U(2)-spin rational and hyperbolic Calogero systems are constructed using nonlinear indecomposable supermultiplets (1,4,3)⊃+(4,4,0).
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