  We identify a non-Hermitian chiral random matrix theory that corresponds to
two-color QCD at high density. We show that the partition function of the
random matrix theory coincides with the partition function of the finite-volume
effective theory at high density, and that the Leutwyler-Smilga-type spectral
sum rules of the random matrix theory are identical to those derived from the
effective theory. The microscopic Dirac spectrum of the theory is governed by
the BCS gap, rather than the conventional chiral condensate. We also show that
with a different choice of a parameter the random matrix theory yields the
effective partition function at low density.
