Holographic gravitational anomaly in first and second order hydrodynamics

Eugenio Megías, Francisco Pena-Benitez

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31 Citations (Scopus)


We compute, in the framework of the fluid/gravity correspondence, the transport coefficients of a relativistic fluid affected by chiral and gauge-gravitational anomalies, including external electromagnetic fields. The computation is performed at first and second order in the hydrodynamical expansion. We use a 5-dim holographic model with pure gauge and mixed gauge-gravitational Chern-Simons terms in the action. We reproduce at first order previous results on the anomaly induced current of a magnetic field and a vortex in a relativistic fluid, and compute at second order the anomalous and non anomalous transport coefficients by using a Weyl covariant formalism. We find a dissipative and anomalous correction to the chiral magnetic conductivity due to the time dependence of the magnetic field. We also find a new contribution from the mixed gauge-gravitational anomaly to the shear waves dispersion relation. The role played by the chiral and gravitational anomalies in other transport coefficients is discussed. © 2013 SISSA, Trieste, Italy.
Original languageEnglish
Article number115
JournalJournal of High Energy Physics
Issue number5
Publication statusPublished - 18 Jun 2013


  • AdS-CFT Correspondence
  • Anomalies in Field and String Theories
  • Gauge-gravity correspondence
  • Holography and quark-gluon plasmas


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