# Hall Viscosity in a Strongly Coupled Magnetized Plasma

## TL;DR

This paper demonstrates how Hall viscosity can be generated in strongly coupled plasmas with a holographic dual by introducing parity-breaking higher derivative terms, revealing new transport phenomena under magnetic fields.

## Contribution

It introduces a holographic model with parity-breaking terms to generate Hall viscosity and explores its effects on thermodynamics and transport in strongly coupled magnetized plasmas.

## Key findings

- Hall viscosity induced by magnetic field in holographic plasma
- Presence of charge density and Hall transport at non-zero magnetic field
- Consistency of holographic results with hydrodynamics at high magnetic fields

## Abstract

We show how a Hall viscosity induced by a magnetic field can be generated in strongly coupled theories with a holographic dual. This is achieved by considering parity-breaking higher derivative terms in the gravity dual. These terms couple the Riemann curvature tensor to the field strength of a gauge field dual to the charge current, and have an analog in the field theory side as a coupling between the "Euler current" and the electromagnetic field. As a concrete example, we study the effect of the new terms in the thermodynamic and transport properties of a strongly coupled magnetized plasma dual to a dyonic black hole in $AdS_4$. As a new property of the holographic model, we find that for a state that is initially neutral at zero magnetic field, a charge density and non-dissipative Hall transport are present when the magnetic field is turned on. Remarkably, we also observe that the results from the holographic model are consistent with hydrodynamics even at magnetic fields much larger than temperature.