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

We find a general formula for the operator mixing on the $$ {mathbb{s}}^4 $$ of chiral primary operators for the $$ mathcal{n}=4 $$ 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 $$ mathcal{n}=2 $$ superconformal field theories in perturbation theory in terms of correlators of the $$ mathcal{n}=4 $$ theory.