Hall viscosity in a strongly coupled magnetized plasma

  • Carlos HoyosEmail author
  • Francisco Peña-Benitez
  • Piotr Witkowski
Open Access
Regular Article - Theoretical Physics


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 AdS4. 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.


Holography and condensed matter physics (AdS/CMT) Effective Field Theories 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Dept. of PhysicsUniversidad de OviedoOviedoSpain
  2. 2.Instituto Universitario de Ciencias y Tecnologias Espaciales de Asturias (ICTEA)OviedoSpain
  3. 3.Max-Planck-Institut für Physik komplexer SystemeDresdenGermany

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