Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory

Abstract

We study at perturbative level the correlation functions of a general class of 1/8 BPS Wilson loops and chiral primaries in N = 4 Super Yang-Mills theory. The contours and the location of operator insertions share a sphere S^2 embedded into spacetime and the system preserves at least two supercharges. We perform explicit two-loop computations, for some particular but still rather general configuration, that confirm the elegant results expected from localization procedure. We find notably full consistency with the multi-matrix model averages, obtained from 2D Yang-Mills theory on the sphere, when interacting diagrams do not cancel and contribute non-trivially to the final answer.

arXiv comment30 pages, 13 figures

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• 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
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
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• Emitted Radiation and Geometry
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• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills