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 S^4 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 twomatrix 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2016
 DOI:
 10.1007/JHEP12(2016)120
 arXiv:
 arXiv:1607.07878
 Bibcode:
 2016JHEP...12..120R
 Keywords:

 1/N Expansion;
 Supersymmetric gauge theory;
 Wilson;
 't Hooft and Polyakov loops;
 High Energy Physics  Theory
 EPrint:
 15 pages, no figures