Operator mixing in large N superconformal field theories on S^4 and correlators with Wilson loops

Abstract

We find a general formula for the operator mixing on the S4 of chiral primary operators for the N=4 theory at large N in terms of Chebyshev polynomials. As an application, we compute the correlator of a chiral primary operator and a Wilson loop, reproducing an earlier result by Giombi and Pestun obtained from a two-matrix model proposal. Finally, we discuss a simple method to obtain correlators in general N=2 superconformal field theories in perturbation theory in terms of correlators of the N=4 theory.