Holographic D-brane constructions with dynamical gauge fields

TL;DR

This paper introduces a method to incorporate dynamical gauge fields into holographic D-brane models, enabling the study of electromagnetic interactions in dual field theories, and verifies the approach through quasinormal mode analysis.

Contribution

It presents a novel formalism for adding dynamical boundary gauge fields to holographic models governed by the DBI action, bridging holography with dynamical electromagnetism.

Findings

Dispersion relations of quasinormal modes match hydrodynamic predictions with dynamical $U(1)$ symmetry.

The formalism successfully models electromagnetic interactions in holographic duals.

Analysis includes both equilibrium and nonequilibrium steady states.

Abstract

Holographic D-brane constructions, governed by the Dirac-Born-Infeld (DBI) action, play a central role in the AdS/CFT correspondence, particularly in applications to quantum chromodynamics and condensed matter systems. In this work, we demonstrate how to equip these bottom-up holographic models with dynamical boundary gauge fields, thereby introducing electromagnetic interactions into their dual field theory descriptions. As a direct application of this formalism, we compute the dispersion relations of the lowest quasinormal modes around both equilibrium and nonequilibrium steady states, and show that their behavior matches the predictions from hydrodynamics with dynamical $U(1)$ symmetry.