Correlators of supersymmetric Wilson loops at weak and strong coupling

Abstract

We continue our study of the correlators of a recently discovered family of BPS Wilson loops in N=4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods finding agreement with the exact formula derived from localization. In particular we check the localization prediction at order g^6 for different BPS "latitude" configurations, the N=4 perturbative expansion reproducing the expected results within a relative error of 10^(-4). On the strong coupling side we present a supergravity evaluation of the 1/8 BPS correlator in the limit of large separation, taking into account the exchange of all relevant modes between the string world-sheets. While reproducing the correct geometrical dependence, we find that the associated coefficient does not match the localization result.

34 pages, 16 figures

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• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Supersymmetric Wilson loops on S^3
• More supersymmetric Wilson loops
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Seiberg-Witten prepotential from instanton counting
• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Exact 1/4 BPS Loop - Chiral Primary Correlator
• The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills

Cited by in corpus (27)

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• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
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• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• Wilson Loops in N=2 Superconformal Yang-Mills Theory
• Localization and AdS/CFT Correspondence
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Toward precision holography with supersymmetric Wilson loops
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Dressed Wilson Loops on S^2
• Impure Aspects of Supersymmetric Wilson Loops
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Emitted Radiation and Geometry
• Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N
• Supersymmetric Wilson loops in two dimensions and duality
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• More on 't Hooft loops in N=4 SYM