  Many-body systems with a conserved U(1) current in (2+1) dimensions may be
probed by weakly gauging this current and studying correlation functions of
magnetic monopole operators in the resulting dynamical gauge theory. We study
such monopole correlations in holographic liquids with fundamental flavor,
where the monopole operator is dual to a magnetically charged particle in the
bulk. In charge-gapped phases the monopole operator is expected to condense. We
show that this condensation is holographically dual to the capping off of the
bulk flavor brane and compute the monopole condensate. We argue that from the
lower-dimensional point of view this may be understood as a simple example of
confinement of a gauge field in the bulk. In a compressible finite-density
phase we present a novel calculation of the monopole correlation in space and
time: the correlation is power law in time but is Gaussian in space due to
interaction with the background charge density.
