Year: 2026
Type: preprint
Abstract: We study holographic $U(1)$ charge transport using a probe Maxwell field in a five-dimensional Gauss-Bonnet-AdS black-brane background. Within the all-order linearised fluid/gravity framework, we derive the off-shell constitutive relation and determine the diffusion function and electric and magnetic conductivities analytically in the hydrodynamic regime and numerically at generic frequency and momentum. To first order in the Gauss-Bonnet coupling, the leading diffusion constant remains unchanged in our normalization, while its frequency dependence and the electric conductivity receive nontrivial corrections. The deformation also generates a nonvanishing leading magnetic conductivity. Beyond the hydrodynamic regime, it modifies the transport profiles while preserving the damped behaviour of the diffusion function. The corresponding memory kernel vanishes at negative times, supporting a retarded constitutive response.
Source: arXiv (Cornell University)
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: Quantum aspects of gravity
OpenAlex ID: W7223030677