Anomalies and entanglement entropy

We initiate a systematic study of entanglement and rényi entropies in the presence of gauge and gravitational anomalies in even-dimensional quantum field theories. we argue that the mixed and gravitational anomalies are sensitive to boosts and obtain a closed form expression for their behavior under such transformations. explicit constructions exhibiting the dependence of entanglement entropy on boosts is provided for theories on spacetimes with non-trivial magnetic fluxes and (or) non-vanishing pontryagin classes.