  The anomalous currents of two-flavor chiral nuclear matter in the presence of
chiral imbalance are computed, using recently developed methods exploiting
generalized transgression, which facilitates the evaluation of both the
equilibrium partition function and the covariant currents. The constitutive
relations for both the broken and unbroken phase of the theory are studied and
the out-of-equilibrium nondissipative transport coefficients determined. In the
superfluid phase, the vector covariant currents exhibit nondissipative chiral
electric, magnetic, and vortical effects, the latter governed by chiral
imbalance.
