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.
Comment: 36 pages, no figures. v2: minor changes; expanded discussions on the relevance of covariant currents for charge transport and on the emergence of T-odd modes in the broken phase; typos corrected and references added. It matches the version to be published in JHEP