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Operator mixing in large N superconformal field theories on S4 and correlators with Wilson loops

Diego Rodriguez-Gomez, Jorge G. Russo
2016 Journal of High Energy Physics  
We find a general formula for the operator mixing on the $\mathbb{S}^4$ of chiral primary operators (CPO) for the ${\cal N}=4$ theory at large $N$ in terms of Chebyshev polynomials. As an application, we compute the correlator of a CPO 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 ${\cal N}=2$ superconformal field theories in perturbation theory in terms of
more » ... ory in terms of correlators of the ${\cal N}=4$ theory.
doi:10.1007/jhep12(2016)120 fatcat:mi54kapipngcnmhun5erzuxske