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arXiv · 2512.24692

${\cal N}=8$ supersymmetric mechanics with spin variables from indecomposable multiplets

Evgeny Ivanov·Stepan Sidorov
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Abstract

We define two new indecomposable (not fully reducible) ${\cal N}=8$, $d=1$ off-shell multiplets and consider the corresponding models of ${\cal N}=8$ supersymmetric mechanics with spin variables. Each multiplet is described off shell by a scalar superfield which is a nonlinear deformation of the standard scalar superfield $X$ carrying the $d=1$ multiplet ${\bf (1,8,7)}$. Deformed systems involve, as invariant subsets, two different off-shell versions of the irreducible multiplet ${\bf (8,8,0)}$. For both systems we present the manifestly ${\cal N}=8$ supersymmetric superfield constraints, as well as the component off- and on-shell invariant actions, which for one version exactly match those given in arXiv:2402.00539 [hep-th]. The two models differ off shell, but prove to be equivalent to each other on shell, with the spin variables sitting in the adjoint representation of the maximal $R$-symmetry group ${\rm SO}(8)$.

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Evgeny Ivanov, Stepan Sidorov. 2025-12-31. ${\cal N}=8$ supersymmetric mechanics with spin variables from indecomposable multiplets. https://arxiv.org/abs/2512.24692

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