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A supersymmetric spin current
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DOI：10.1007/JHEP08(2025)129.png)
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Abstract
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We study the supersymmetric structure of the spin current in four dimensional $$ \mathcal{N} $$ = 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.
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