U(1) Current Diffusion in Gauss-Bonnet Holography

@misc{kumara2026current,
  title = {{U(1) Current Diffusion in Gauss-Bonnet Holography}},
  author = {A. Naveena Kumara and Shreyas Punacha and Kartheek Hegde},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26515},
  eprint = {2610.26515},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26515},
}

TY  - UNPB
TI  - U(1) Current Diffusion in Gauss-Bonnet Holography
AU  - A. Naveena Kumara
AU  - Shreyas Punacha
AU  - Kartheek Hegde
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26515
UR  - https://arxiv.org/abs/2610.26515
AB  - 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.
ER  -