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Operator Mixing in Large $N$ Superconformal Field Theories on $mathbb{S}^4$ and Correlators with Wilson loops

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 نشر من قبل Diego Rodriguez-Gomez
 تاريخ النشر 2016
  مجال البحث
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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 correlators of the ${cal N}=4$ theory.

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