OPE meets semiclassics

We show that the correlator of three large charge operators with minimal scaling dimension can be computed semiclassically in conformal field theories (CFTs) a $U(1)$ symmetry for arbitrary fixed values ratios their charges. obtain explicitly operator product expansion coefficient from numerical solution nonlinear boundary value problem superfluid effective theory $3d$. The result applies all three-dimensional CFTs whose sector is superfluid.