  We present a new class of ${\cal N}=4$ supersymmetric quiver matrix models
and argue that it describes the stringy low-energy dynamics of internally
wrapped D-branes in four-dimensional anti-de Sitter (AdS) flux
compactifications. The Lagrangians of these models differ from previously
studied quiver matrix models by the presence of mass terms, associated with the
AdS gravitational potential, as well as additional terms dictated by
supersymmetry. These give rise to dynamical phenomena typically associated with
the presence of fluxes, such as fuzzy membranes, internal cyclotron motion and
the appearance of confining strings. We also show how these models can be
obtained by dimensional reduction of four-dimensional supersymmetric quiver
gauge theories on a three-sphere.
