  We study the holographic field theory dual of a probe SU(2) Yang-Mills field
in a background $(4+1)$-dimensional asymptotically Anti-de Sitter space. We
find a new ground state when a magnetic component of the gauge field is larger
than a critical value. The ground state forms a triangular Abrikosov lattice in
the spatial directions perpendicular to the magnetic field. The lattice is
composed of superconducting vortices induced by the condensation of a charged
vector operator. We perform this calculation both at finite temperature and at
zero temperature with a hard wall cutoff dual to a confining gauge theory. The
study of this state may be of relevance to both holographic condensed matter
models as well as to heavy ion physics. The results shown here provide support
for the proposal that such a ground state may be found in the QCD vacuum when a
large magnetic field is present.
