  We investigate the properties of near-conformal dynamics in a sector of large
charge when approaching the lower boundary of the conformal window from the
chirally broken phase. To elucidate our approach we use the time-honored
example of the phenomenologically relevant SU(2) color theory featuring $N_f$
Dirac fermions transforming in the fundamental representation of the gauge
group. In the chirally broken phase we employ the effective pion Lagrangian
featuring also a pseudo-dilaton to capture a possible smooth
conformal-to-non-conformal phase transition. We charge the baryon symmetry of
the Lagrangian and study its impact on the ground state and spectrum of the
theory as well as the would-be conformal dimensions of the lowest large-charge
operator. We moreover study the effects of and dependence on the fermion mass
term.
