Abstract
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.
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ArXiv ePrint: 1607.07878
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Rodriguez-Gomez, D., Russo, J.G. Operator mixing in large N superconformal field theories on S4 and correlators with Wilson loops. J. High Energ. Phys. 2016, 120 (2016). https://doi.org/10.1007/JHEP12(2016)120
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DOI: https://doi.org/10.1007/JHEP12(2016)120