Holographic gravitational anomaly in first and second order hydrodynamics Megías Fernández, Eugenio Pena Benitez, Francisco Gauge-gravity correspondence AdS-CFT Correspondence Holography and quark-gluon plasmas Anomalies in Field and String Theories 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. 2025-01-23T08:34:38Z 2025-01-23T08:34:38Z 2013-05-22 journal article Megías, E., & Pena-Benitez, F. (2013). Holographic gravitational anomaly in first and second order hydrodynamics. Journal of High Energy Physics, 05 (2013) 115 https://hdl.handle.net/10481/100066 10.1007/JHEP05(2013)115 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Springer Nature