Composite-particle hydrodynamics from dyonic black branes

TL;DR

This paper develops a holographic hydrodynamic model for composite particles with magnetic flux in (2+1) dimensions, enabling analysis under strong magnetic fields by perturbing dyonic black brane solutions.

Contribution

It introduces a novel method to derive hydrodynamics from dyonic black branes, avoiding order mixing and allowing strong magnetic field limits in the dual field theory.

Findings

Hydrodynamics derived from dyonic black branes matches composite particle systems.

Method enables analysis of strong magnetic field effects.

Comparison with special Einstein-Maxwell solutions validates approach.

Abstract

We construct effective hydrodynamics for composite particles in (2+1) dimensions carrying a magnetic flux by employing a holographic approach. The hydrodynamics is obtained by perturbation of the dyonic black brane solutions in the derivative expansion. We introduce a consistent way to avoid mixing of different orders in the expansion. Thanks to this method, it is possible to take the strong external magnetic field limit in the dual field theory. To compare our result with those for a composite particle system, we study several cases that correspond to special solutions of Einstein's equation and Maxwell's equations.