Conserved current correlators of conformal field theories in 2+1 dimensions

We compute current correlators of the CPN-1 field theory in 2 + 1 dimensions, both at the critical point and in the phase with spontaneously broken SU(N) symmetry. Universal constants are obtained to next-to-leading order in the 1/N expansion. Implications are noted for quantum critical points of antiferromagnets and their vicinity.