  We consider unitary CFTs with continuous global symmetries in $d>2$. We
consider a state created by the lightest operator of large charge $Q \gg 1$ and
analyze the correlator of two light charged operators in this state. We assume
that the correlator admits a well-defined large $Q$ expansion and, relatedly,
that the macroscopic (thermodynamic) limit of the correlator exists. We find
that the crossing equations admit a consistent truncation, where only a finite
number $N$ of Regge trajectories contribute to the correlator at leading
nontrivial order. We classify all such truncated solutions to the crossing. For
one Regge trajectory $N=1$, the solution is unique and given by the effective
field theory of a Goldstone mode. For two or more Regge trajectories $N \geq
2$, the solutions are encoded in roots of a certain degree $N$ polynomial. Some
of the solutions admit a simple weakly coupled EFT description, whereas others
do not. In the weakly coupled case, each Regge trajectory corresponds to a
field in the effective Lagrangian.
