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A supersymmetric spin current

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arxiv 2408.04399 v2 pith:LGAMNMEF submitted 2024-08-08 hep-th gr-qc

Casey Cartwright , Domingo Gallegos , Umut Gürsoy , Roi Klein , Amos Yarom This is my paper · ORCID
classification hep-thgr-qc
keywords currentspintheoriesmultipletsupersymmetricdualhodgeholographic
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abstract

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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  1. The role of torsion in holographic conductivity

    hep-th 2025-01 conditional novelty 6.0 of 10

    Holographic conductivity computed in a torsionful Riemann-Cartan bulk shows a Drude peak and metal-insulator crossover when the photon couples non-minimally to torsion, with σ_DC = √μ + 3γ²δ²/√μ.

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