DC conductance and memory in 3D gravity

Author(s)

Cardenas, Marcela ; Gonzalez, Hernan A. ; Lara, Kristiansen ; Pino, Miguel

• Document type: Journal article
• Source: Journal of High Energy Physics; v. N/A, n. 8, p. 19-pg., 2022-08-04.

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. (AU)

• FAPESP's process: 19/13231-7 - Chile - São Paulo network on holography
• Grantee: Horatiu Stefan Nastase
• Support Opportunities: Regular Research Grants