DC conductance and memory in 3D gravity

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.

arXiv comment23 pages, no figures. New version matches with published article

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Cited by in corpus (1)

• 1/c deformations of AdS${}_3$ boundary conditions and the Dym hierarchy