DC conductance and memory in 3D gravity

Márcela Cárdenas, Hernán A. González, Kristiansen Lara, Miguel Pino

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number74
JournalJournal of High Energy Physics
Issue number8
StatePublished - Aug 2022
Externally publishedYes


  • Chern-Simons Theories
  • Classical Theories of Gravity
  • Field Theories in Lower Dimensions
  • Global Symmetries


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