Charging the conformal window

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