  We propose a new non-Hermitian chiral random matrix model that describes
single-flavor spin-one Cooper pairing of quarks. For three colors the model
shows spontaneous breaking of color $\mathrm{SU}(3)_C$ and spin
$\mathrm{SO}(3)_J$ symmetries down to the diagonal $\mathrm{SO}(3)_{C+J}$
subgroup, in striking analogy to the color-spin locked phase of one-flavor QCD
at high density. For two colors, color-singlet spin-one diquarks condense and
trigger symmetry breaking $\mathrm{U}(1) \times \mathrm{SO}(3)_J \to
\mathrm{SO}(2)_J$. In both cases the microscopic large-$N$ limit is rigorously
taken and the effective theory of Nambu-Goldstone modes is derived.
