  Certain CFTs with a global $U(1)$ symmetry become superfluids when coupled to
a chemical potential. When this happens, a Goldstone effective field theory
controls the spectrum and correlators of the lightest large charge operators.
We show that in 3d, this EFT contains a single parity-violating 1-derivative
term with quantized coefficient. This term forces the superfluid ground state
to have vortices on the sphere, leading to a spectrum of large charge operators
that is remarkably richer than in parity-invariant CFTs. We test our
predictions in a weakly coupled Chern-Simons matter theory.
