  In a matrix model of pure $SU(2)$ Yang-Mills theory, boundaries emerge in the
space of $\textrm{Mat}_{3}(\mathbb{R})$ and the Hamiltonian requires boundary
conditions. We show the existence of edge localized glueball states which can
have negative energies. These edge levels can be lifted to positive energies if
the gluons acquire a London-like mass. This suggests a new phase of QCD with an
incompressible bulk.
