Partially massless spin 2 and supersymmetry

Abstract The very existence of partially massless spin 2 supermultiplet tell us that partially massless spin 2 has two natural super-partners: massless spin 3/2 and massive spin 3/2 with some special value of mass. As for any pair of fields connected by global supertransformations there are two natu...

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Main Author: Yu. M. Zinoviev
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2025)019
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author Yu. M. Zinoviev
author_facet Yu. M. Zinoviev
author_sort Yu. M. Zinoviev
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description Abstract The very existence of partially massless spin 2 supermultiplet tell us that partially massless spin 2 has two natural super-partners: massless spin 3/2 and massive spin 3/2 with some special value of mass. As for any pair of fields connected by global supertransformations there are two natural questions: existence of the self-interaction and possibility to make supertransformations to be local by switching their interaction with massless spin 3/2 gravitino. At first, we consider a self-interaction for the partially massless spin 2 and massive spin 3/2 which may be considered as the first approximation to partially massless supergravity and provide a direct construction of the minimal (i.e. having no more than one derivative) vertex which resembles usual supergravity. Then we consider localization of global supersymmetry which connects partially massless spin 2 with its two possible super-partners — massless spin 3/2 and massive with special mass value. For the first case we also managed to construct a minimal vertex having no more that one derivative. Again this vertex can be considered as a part of what can be called partially massless N = 2 supergravity. As for the second case, the corresponding vertex does exist but it has higher derivative terms.
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spelling doaj-art-7f7740d9fe174366aecbaa250b716f762025-08-20T03:53:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025412110.1007/JHEP04(2025)019Partially massless spin 2 and supersymmetryYu. M. Zinoviev0Institute for High Energy Physics of National Research Center “Kurchatov Institute”Abstract The very existence of partially massless spin 2 supermultiplet tell us that partially massless spin 2 has two natural super-partners: massless spin 3/2 and massive spin 3/2 with some special value of mass. As for any pair of fields connected by global supertransformations there are two natural questions: existence of the self-interaction and possibility to make supertransformations to be local by switching their interaction with massless spin 3/2 gravitino. At first, we consider a self-interaction for the partially massless spin 2 and massive spin 3/2 which may be considered as the first approximation to partially massless supergravity and provide a direct construction of the minimal (i.e. having no more than one derivative) vertex which resembles usual supergravity. Then we consider localization of global supersymmetry which connects partially massless spin 2 with its two possible super-partners — massless spin 3/2 and massive with special mass value. For the first case we also managed to construct a minimal vertex having no more that one derivative. Again this vertex can be considered as a part of what can be called partially massless N = 2 supergravity. As for the second case, the corresponding vertex does exist but it has higher derivative terms.https://doi.org/10.1007/JHEP04(2025)019de Sitter spaceExtended SupersymmetryGauge SymmetryHigher Spin Symmetry
spellingShingle Yu. M. Zinoviev
Partially massless spin 2 and supersymmetry
Journal of High Energy Physics
de Sitter space
Extended Supersymmetry
Gauge Symmetry
Higher Spin Symmetry
title Partially massless spin 2 and supersymmetry
title_full Partially massless spin 2 and supersymmetry
title_fullStr Partially massless spin 2 and supersymmetry
title_full_unstemmed Partially massless spin 2 and supersymmetry
title_short Partially massless spin 2 and supersymmetry
title_sort partially massless spin 2 and supersymmetry
topic de Sitter space
Extended Supersymmetry
Gauge Symmetry
Higher Spin Symmetry
url https://doi.org/10.1007/JHEP04(2025)019
work_keys_str_mv AT yumzinoviev partiallymasslessspin2andsupersymmetry