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

@article{RodguezGmez2016OperatorMI,
  title={Operator mixing in large N superconformal field theories on S4 and correlators with Wilson loops},
  author={Diego Rodŕıguez-G{\'o}mez and Jorge G. Russo},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-15}
}
A bstractWe find a general formula for the operator mixing on the S4$$ {\mathbb{S}}^4 $$ of chiral primary operators for the N=4$$ \mathcal{N}=4 $$ 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 N=2$$ \mathcal{N}=2 $$ superconformal… Expand
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