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Correlation function of circular Wilson loop with two local operators and conformal invariance

Correlation function of circular Wilson loop with two local operators and conformal invariance

We consider the correlation function of a circular Wilson loop with two local scalar operators at generic four positions ${a}_{1}$, ${a}_{2}$ in planar $\mathcal{N}=4$ supersymmetric gauge theory. We show that such a correlator is fixed by conformal invariance up to a function $F(\mathrm{u},\mathrm{v};\ensuremath{\lambda})$ of two scalar combinations $\mathrm{u},\mathrm{v}$ of ${a}_{1}$, …