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• W2896951336 abstract "We consider $mathcal N=2$ conformal QCD in four dimensions and the one-point correlator of a class of chiral primaries with the circular $frac{1}{2}$-BPS Maldacena-Wilson loop. We analyze a recently introduced double scaling limit where the gauge coupling is weak while the R-charge of the chiral primary $Phi$ is large. In particular, we consider the case $Phi=(text{tr}varphi^{2})^{n}$ , where $varphi$ is the complex scalar in the vector multiplet. The correlator defines a non-trivial scaling function at fixed $kappa = n,g_{rm YM}^{2}$ and large $n$ that may be studied by localization. For any gauge group $SU(N)$ we provide the analytic expression of the first correction $sim zeta(3),kappa^{2}$ and prove its universality. In the $SU(2)$ and $SU(3)$ theories we compute the scaling functions at order $mathcal O(kappa^{6})$. Remarkably, in the $SU(2)$ case the scaling function is equal to an analogous quantity describing the chiral 2-point functions $langlePhioverlinePhirangle$ in the same large R-charge limit. We conjecture that this $SU(2)$ scaling function is computed at all-orders by a $mathcal N=4$ SYM expectation value of a matrix model object characterizing the one-loop contribution to the 4-sphere partition function. The conjecture provides an explicit series expansion for the scaling function and is checked at order $mathcal O(kappa^{10})$ by showing agreement with the available data in the sector of chiral 2-point functions." @default.
• W2896951336 created "2018-10-26" @default.
• W2896951336 creator A5036218419 @default.
• W2896951336 date "2019-02-01" @default.
• W2896951336 modified "2023-09-26" @default.
• W2896951336 title "Double scaling limit of $$ mathcal{N} $$= 2 chiral correlators with Maldacena-Wilson loop" @default.
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• W2896951336 doi "https://doi.org/10.1007/jhep02(2019)095" @default.
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