Anomalous hydrodynamics with dyonic charge

Abstract

In this paper, we study anomalous hydrodynamics with a dyonic charge. We show that the local second law of thermodynamics constrains the structure of the anomaly in addition to the structure of the hydrodynamic constitutive equations. In particular, we show that not only the usual [Formula: see text] term but also [Formula: see text] term should be present in the anomaly with a specific coefficient for the local entropy production to be positive definite.