A supersymmetric spin current

Abstract We study the supersymmetric structure of the spin current in four dimensional N $$ \mathcal{N} $$ = 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 multiple...

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Bibliographic Details
Main Authors: Casey Cartwright, Domingo Gallegos, Umut Gürsoy, Roi Klein, Amos Yarom
Format: Article
Language:English
Published: SpringerOpen 2025-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2025)129
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Summary:Abstract We study the supersymmetric structure of the spin current in four dimensional N $$ \mathcal{N} $$ = 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.
ISSN:1029-8479