The dark side of double-tensor multiplets

Abstract We explore the properties of a set of free double-tensor multiplets in N $$ \mathcal{N} $$ = 2 supersymmetry, focusing on their behavior within rigid superspace. These multiplets can be obtained from hypermultiplets by Hodge-dualizing half of their scalars, and feature an off-shell matching...

Full description

Saved in:
Bibliographic Details
Main Authors: L. Andrianopoli, G. Casale, L. Ravera, A. Santambrogio
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)133
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1823863464667381760
author L. Andrianopoli
G. Casale
L. Ravera
A. Santambrogio
author_facet L. Andrianopoli
G. Casale
L. Ravera
A. Santambrogio
author_sort L. Andrianopoli
collection DOAJ
description Abstract We explore the properties of a set of free double-tensor multiplets in N $$ \mathcal{N} $$ = 2 supersymmetry, focusing on their behavior within rigid superspace. These multiplets can be obtained from hypermultiplets by Hodge-dualizing half of their scalars, and feature an off-shell matching of bosonic and fermionic degrees of freedom. Despite this fact, the supersymmetry algebra results to close only on-shell. Our analysis is conducted both in superspace, using the geometric (rheonomic) approach, and in spacetime, comparing how our results are obtained in the two approaches. Notably, the cohomology of superspace requires that the scalars Hodge-dual to the antisymmetric tensors crucially contribute to the superspace description of the tensors super-field strengths. This shows an inherent non-locality of the theory, already in the free case, which however does not forbid a Lagrangian description.
format Article
id doaj-art-5e8a6c39a0a5403497180dd4cbd265c6
institution Kabale University
issn 1029-8479
language English
publishDate 2025-01-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-5e8a6c39a0a5403497180dd4cbd265c62025-02-09T12:07:51ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114310.1007/JHEP01(2025)133The dark side of double-tensor multipletsL. Andrianopoli0G. Casale1L. Ravera2A. Santambrogio3DISAT, Politecnico di TorinoInstitut für Physik, Humboldt-Universität zu BerlinDISAT, Politecnico di TorinoINFN, Sezione di MilanoAbstract We explore the properties of a set of free double-tensor multiplets in N $$ \mathcal{N} $$ = 2 supersymmetry, focusing on their behavior within rigid superspace. These multiplets can be obtained from hypermultiplets by Hodge-dualizing half of their scalars, and feature an off-shell matching of bosonic and fermionic degrees of freedom. Despite this fact, the supersymmetry algebra results to close only on-shell. Our analysis is conducted both in superspace, using the geometric (rheonomic) approach, and in spacetime, comparing how our results are obtained in the two approaches. Notably, the cohomology of superspace requires that the scalars Hodge-dual to the antisymmetric tensors crucially contribute to the superspace description of the tensors super-field strengths. This shows an inherent non-locality of the theory, already in the free case, which however does not forbid a Lagrangian description.https://doi.org/10.1007/JHEP01(2025)133Extended SupersymmetrySuperspaces
spellingShingle L. Andrianopoli
G. Casale
L. Ravera
A. Santambrogio
The dark side of double-tensor multiplets
Journal of High Energy Physics
Extended Supersymmetry
Superspaces
title The dark side of double-tensor multiplets
title_full The dark side of double-tensor multiplets
title_fullStr The dark side of double-tensor multiplets
title_full_unstemmed The dark side of double-tensor multiplets
title_short The dark side of double-tensor multiplets
title_sort dark side of double tensor multiplets
topic Extended Supersymmetry
Superspaces
url https://doi.org/10.1007/JHEP01(2025)133
work_keys_str_mv AT landrianopoli thedarksideofdoubletensormultiplets
AT gcasale thedarksideofdoubletensormultiplets
AT lravera thedarksideofdoubletensormultiplets
AT asantambrogio thedarksideofdoubletensormultiplets
AT landrianopoli darksideofdoubletensormultiplets
AT gcasale darksideofdoubletensormultiplets
AT lravera darksideofdoubletensormultiplets
AT asantambrogio darksideofdoubletensormultiplets