DC conductance and memory in 3D gravity
Abstract
Transport properties are investigated in the two-dimensional dual dynamics of AdS 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.
Keywords
Cite
@article{arxiv.2109.05068,
title = {DC conductance and memory in 3D gravity},
author = {Márcela Cárdenas and Hernán A. González and Kristiansen Lara and Miguel Pino},
journal= {arXiv preprint arXiv:2109.05068},
year = {2022}
}
Comments
23 pages, no figures. New version matches with published article