  We have studied a massive U(1) gauge holographic model with pure gauge and
mixed gauge-gravitational Chern-Simons terms. The full backreaction of the
gauge field on the metric tensor has been considered in order to explore the
vortical and energy transport sector. The background solution has been computed
numerically. On this background, we have considered the fluctuation of the
fields and evaluated the different correlators. We have found that all the
correlators depend on the mass of the gauge field. Correlators such as the
current-current one, $\langle J_xJ_x\rangle$, which were completely absent in
the massless case, in the presence of a finite gauge boson mass start picking
up some finite value even at zero chemical potential. Similarly, the
energy-current correlator, $\langle T_{0x}J_x\rangle$, which was also absent in
the massless theory, has now a non-vanishing value but for finite values of the
chemical potential. Our findings for the chiral vortical conductivity,
$\sigma_V$, and the chiral magnetic/vortical conductivity of energy current,
$\sigma^\varepsilon_B = \sigma^\varepsilon_V$, are completely new results. In
addition to this, we have found that these anomalous transport coefficients
depend linearly both on the pure Chern-Simon coupling, $\kappa$, and on the
mixed gauge-gravity Chern-Simon coupling, $\lambda$. One of the results that we
would like to highlight is that its not just $\kappa$ that contributes to the
$\sigma_B$ but there is an additional contribution from $\lambda$ as well
unlike the previous studies.
