A supersymmetric spin current
A bstract We study the supersymmetric structure of the spin current in four dimensional $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 supersymmetric theories. By coupling the stress tensor multiplet to a vierbein multiplet we identify a spin current with the Hodge dual of the bottom component of the stress tensor multiplet in a wide range of theories. This implies that in holographic theories the Hodge dual of the R current may serve as a spin current, paving the way for holographic studies of theories with background torsion.
Authors
- Amos Yarom (ORCID: https://orcid.org/0000-0002-6322-7291)
- Casey Cartwright (ORCID: https://orcid.org/0000-0002-6753-6884)
- Umut Gürsoy (ORCID: https://orcid.org/0000-0002-1034-9316)
- Domingo Gallegos (ORCID: https://orcid.org/0000-0003-2841-3504)
- Robert M. Klein
Institutions
- Technion – Israel Institute of Technology (IL)
- Utrecht University (NL)
- Universidad Nacional Autónoma de México (MX)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-08-18
- DOI
- https://doi.org/10.1007/jhep08(2025)129
- Citations
- 1
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- National Natural Science Foundation of China
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Israel Science Foundation
- Universidad Nacional Autónoma de México