Holographic approach to anomalous transport in a massive $U(1)$ gauge theory

In this study, we explore a massive (U(1)) gauge holographic model with pure gauge and mixed gauge-gravitational Chern-Simons terms. By considering the full backreaction of the gauge field on the metric tensor, we explore the vortical and energy transport sectors. Our findings for the chiral vortical conductivity, σV, and the chiral magnetic/vortical conductivity of energy current show that σ^εB = σ^εV. Notably, we highlight a contribution to (σ_V) induced by the mixed term in the massive theory, which is absent in the massless case.