  We study the anomalous induced current of a vortex in a relativistic fluid
via the chiral vortical effect, which is analogous to the anomalous current
induced by a magnetic field via the chiral magnetic effect. We perform this
analysis at weak and strong coupling. We discuss inequivalent implementations
to the chemical potential for an anomalous symmetry. At strong coupling we use
a holographic model with a pure gauge and mixed gauge-gravitational
Chern-Simons term in the action. We discuss the holographic renormalization and
show that the Chern-Simons terms do not induce new divergences. Strong and weak
coupling results agree precisely. We also point out that the holographic
calculation can be done without a singular gauge field configuration on the
horizon of the black hole.
