Holographic Gravitational Anomaly in First and Second Order Hydrodynamics

Understand

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.