  Motivated by the recent progress in solving the large charge sector of
conformal field theories, we revisit the mass-charge relation of boson stars
asymptotic to global AdS. We construct and classify a large number of
electrically charged boson star solutions in a toy model and two supergravity
models arising from the $SU(3)$ and $U(1)^4$ truncation of $D=4$ $SO(8)$ gauged
maximal supergravity. We find a simple ansatz for the chemical potential that
can fit the numerical data in striking accuracy for the full range of charge.
Combining with the first law of thermodynamics, we can then evaluate the mass
as a function of the charge and obtain the free energy in the fixed charge
ensemble. We show that in the toy model, the ground state can be either the
extremal RN black hole or the boson stars depending on the parameter region.
For the $SU(3)$ truncation, there always exists a boson star that has smaller
free energy than the extremal RN black hole, in contrast to the $U(1)^4$ model
where the extremal RN black hole is always the ground state. In all models, for
boson star solutions with arbitrarily large charge, we show that the large
charge expansion of the mass reproduces the same structure exhibited in the CFT
side.
