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N=8 supersymmetric mechanics with spin variables from indecomposable multiplets

Evgeny Ivanov1,2,* and Stepan Sidorov1,†

  • *Contact author: eivanov@theor.jinr.ru
  • †Contact author: sidorovstepan88@gmail.com
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Phys. Rev. D 113, 066001 – Published 3 March, 2026

DOI: https://doi.org/10.1103/tcwy-y4tg

Abstract

We define two new indecomposable (not fully reducible) N=8, d=1 off-shell multiplets and consider the corresponding models of 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 (1,8,7). Deformed systems involve, as invariant subsets, two different off-shell versions of the irreducible multiplet (8,8,0). For both systems we present the manifestly 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. 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 SO(8).

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Phys. Rev. D 113, 066001– Published 3 March, 2026
  • Received 23 January 2026
  • Accepted 13 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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