Abstract

AbstractUsing a holographic model with a pure gauge and mixed gauge‐gravitational Chern‐Simons terms in the action, we analyze the anomalous induced current of a vortex in the relativistic fluid via the chiral vortical effect, which is analogous to the anomalous current induced by a magnetic field via the chiral magnetic effect. The gravitational anomaly gives rise to an anomalous vortical effect even for an uncharged fluid characterized by a term proportional to T2. The numerical value of this term is not renormalized compared to the weak coupling result [1]. We also address on a general formalism to unify the two inequivalent implementations to the chemical potential for an anomalous symmetry presented in [2].

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