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arXiv · 2607.01107

${\cal N}{=}\,4$ supersymmetric multiparticle systems based on indecomposable multiplets

Sergey Fedoruk·Evgeny Ivanov·Stepan Sidorov
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Abstract

We construct new multiparticle models of $\mathcal{N}=4$ supersymmetric mechanics with spin degrees of freedom by employing nonlinear indecomposable supermultiplets ${\bf (1,4,3){\supset\hspace{-1.1em}+}(4,4,0)}$. These systems are proper deformations of those associated with the standard irreducible $d=1$, $\mathcal{N}=4$ multiplets. In this way we find a deformation of $\mathcal{N}=4$ supersymmetric U$(2)$-spin rational Calogero system invariant under $d=1$ superconformal group OSp$(4|2)$. One more deformed model reproduces $\mathcal{N}=4$ supersymmetric U$(2)$-spin hyperbolic Calogero system, up to a shift of the Hamiltonian by some U$(1)$ generators.

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Sergey Fedoruk, Evgeny Ivanov, Stepan Sidorov. 2026-07-01. ${\cal N}{=}\,4$ supersymmetric multiparticle systems based on indecomposable multiplets. https://doi.org/10.1016/j.nuclphysb.2026.117648

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