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

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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.

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Journal of High Energy Physics, 2016, vol. 2016, num. 120

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cc-by (c) Rodriguez Gomez, Diego et al., 2016

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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