Abstract
Transport properties are investigated in the two-dimensional dual dynamics of AdS3 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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Cárdenas, M., González, H.A., Lara, K. et al. DC conductance and memory in 3D gravity. J. High Energ. Phys. 2022, 74 (2022). https://doi.org/10.1007/JHEP08(2022)074
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DOI: https://doi.org/10.1007/JHEP08(2022)074