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.
Boundary terms, branes and AdS/BCFT in first-order gravity
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abstract
We provide an account of the issue of Gibbons-Hawking-York-like boundary terms for a gravity theory defined on a Riemman-Cartan spacetime. We further discuss different criteria for introducing boundary terms in some familiar first-order gravity theories with both on-shell vanishing and non-vanishing torsion, along with considerations regarding the thermodynamics of black holes and profiles of the End-of-the-World branes. Our analysis confirms the expected geodesic profile of the End-of-the-World brane in the BF formulation of Jackiw-Teitelboim gravity. Finally, we present the first realisation of the AdS/BCFT duality for spacetime with 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.