  We apply the large-charge limit to the first known example of a
four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed
point in all couplings. We determine the energy of the ground state in presence
of large fixed global charges and deduce the global symmetry breaking pattern.
We show that the fermions decouple at low energy leaving behind a confining
Yang-Mills theory and a characteristic spectrum of type I (relativistic) and
type II (non-relativistic) Goldstone bosons. Armed with the knowledge acquired
above we finally arrive at establishing the conformal dimensions of the theory
as a triple expansion in the large-charge, the number of flavors and the
controllably small inverse gauge coupling constant at the UV fixed point. Our
results unveil a number of noteworthy properties of the low-energy spectrum,
vacuum energy and conformal properties of the theory. They also allow us to
derive a new consistency condition for the relative sizes of the couplings at
the fixed point.
