  In the context of AdS/CFT with flavor, we consider the type IIB supergravity
solution corresponding to a fully localized D3/D7 intersection. We complete the
standard metric ansatz by providing an analytic expression for the warp factor,
under the assumption of a logarithmically running axion-dilaton. From the gauge
dual perspective, this behavior is related to the positive beta function of the
N=4, d=4 SU(N_c) super Yang-Mills gauge theory, coupled to N_f fundamental N=2
hypermultiplets. We comment on the existence of tadpoles and relate them to the
same gauge theory beta function. Next we consider a classical spinning string
configuration in the decoupling limit of the D3/D7 geometry and extract the
flavor (N_f) dependence of the associated meson Regge trajectory. Including the
backreaction of the D7-branes in the supergravity dual allows for going beyond
the quenched approximation on the dual gauge theory side.
