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Main Authors: Ivanov, Evgeny, Sidorov, Stepan
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.24692
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author Ivanov, Evgeny
Sidorov, Stepan
author_facet Ivanov, Evgeny
Sidorov, Stepan
contents 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 ${\rm SO}(8)$.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24692
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ${\cal N}=8$ supersymmetric mechanics with spin variables from indecomposable multiplets
Ivanov, Evgeny
Sidorov, Stepan
High Energy Physics - Theory
Mathematical Physics
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 ${\rm SO}(8)$.
title ${\cal N}=8$ supersymmetric mechanics with spin variables from indecomposable multiplets
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2512.24692