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A supersymmetric spin current

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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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2025 1

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representative citing papers

The role of torsion in holographic conductivity

hep-th · 2025-01-01 · conditional · novelty 6.0

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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  • The role of torsion in holographic conductivity hep-th · 2025-01-01 · conditional · none · ref 20 · internal anchor

    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.