  We study thermodynamics of strongly coupled lattice QCD with $two$ colors of
staggered fermions in $(2+1)$ dimensions. The partition function of this model
can be written elegantly as a statistical mechanics of dimers and baryonloops.
The model is invariant under an $SO(3)\times U(1)$ symmetry. At low
temperatures we find evidence for superfluidity in the U(1) symmetry sector
while the SO(3) symmetry remains unbroken. The finite temperature phase
transition appears to belong to the Kosterlitz-Thouless universality class, but
the superfluid density jump $\rho_s(T_c)$ at the critical temperature $T_c$ is
anomalously higher than the normal value of $2 T_c/\pi$. We show that by adding
a small SO(3) symmetry breaking term to the model, the superfluid density jump
returns to its normal value implying that the extra symmetry causes anomalous
superfluid behavior. Our results may be of interest to researchers studying
superfluidity in spin-1 systems.
