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

TL;DR

This paper performs two-loop perturbative calculations of correlation functions between 1/8 BPS Wilson loops and chiral primaries in N=4 Super Yang-Mills, confirming consistency with localization and 2D Yang-Mills results.

Contribution

It provides explicit two-loop perturbative results for correlators involving 1/8 BPS Wilson loops and chiral primaries, validating predictions from localization and matrix models.

Findings

Results agree with multi-matrix model averages from 2D Yang-Mills.

Explicit two-loop computations confirm theoretical expectations.

Interaction diagrams contribute non-trivially to correlators.

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.