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arXiv · 2109.05068

DC conductance and memory in 3D gravity

Márcela Cárdenas·Hernán A. González·Kristiansen Lara·Miguel Pino
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Abstract

Transport properties are investigated in the two-dimensional dual dynamics of AdS$_{3}$ gravity. By providing boundary conditions that deform the ADM lapse and shift functions, we construct a lower dimensional model comprising two copies of chiral boson excitations with anisotropic scaling symmetry. Using bosonization, an electric current is identified. By means of the Kubo formula, we find a DC conductance depending on the level of the theory and the dynamical exponents. The bulk realization of the linear response is related to a type of gravitational memory emerging in the context of near-horizon boundary conditions. The process is adiabatic and represents a permanent spacetime deformation parametrized by anisotropic chiral bosons through a large gauge transformation.

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Márcela Cárdenas, Hernán A. González, Kristiansen Lara, Miguel Pino. 2021-09-10. DC conductance and memory in 3D gravity. https://doi.org/10.1007/jhep08(2022)074

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