English

A supersymmetric spin current

High Energy Physics - Theory 2025-08-21 v2 General Relativity and Quantum Cosmology

Abstract

We study the supersymmetric structure of the spin current in four dimensional N=1\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 RR current may serve as a spin current, paving the way for holographic studies of theories with background torsion.

Keywords

Cite

@article{arxiv.2408.04399,
  title  = {A supersymmetric spin current},
  author = {Casey Cartwright and Domingo Gallegos and Umut Gürsoy and Roi Klein and Amos Yarom},
  journal= {arXiv preprint arXiv:2408.04399},
  year   = {2025}
}
R2 v1 2026-06-28T18:07:37.275Z