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.
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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The role of torsion in holographic conductivity
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.