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.

30 pages, 13 figures

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Supersymmetric Wilson loops on S^3
• On three-point correlation functions in the gauge/gravity duality
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Higgs Bundles, Gauge Theories and Quantum Groups
• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
• Exact 1/4 BPS Loop - Chiral Primary Correlator

Cited by in corpus (5)

• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Emitted Radiation and Geometry
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers