  We provide a consistent reduction to five dimensions of the system of
D3-branes at Calabi-Yau singularities coupled to D7-branes with world-volume
gauge flux. The D3-branes source the dual to would-be conformal quiver
theories. The D7-branes, which are homogeneously distributed in their
transverse directions, are dual to massless matter in the fundamental
representation at finite (baryon) density. We provide the five-dimensional
action and equations of motion, and discuss a few sub-truncations. The
reduction can be used in the study of transport properties and stability of
D3-D7 charged systems.
