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arXiv · 2411.04043

Into the wedge of $\mathcal{N}=2$ superconformal gauge theories

Luca Griguolo·Luigi Guerrini·Alessandro Testa
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Abstract

We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the two-sphere separated by an arbitrary opening angle. We conjecture that these observables are encoded in a modification of Pestun's matrix model. The matrix representation of these operators resembles that of the $\frac12$-BPS circular Wilson loop, differing only for a rescaling in the exponent. We compare the matrix model predictions with an explicit three-loop calculation in flat space based on standard Feynman-diagram techniques, finding perfect agreement. Finally, exploiting the matrix model representation of these Wilson loops, we study the large-$N$ limit at strong coupling of $\mathcal{N}=2$ superconformal QCD, finding a surprising transition in the vacuum expectation value for a critical opening angle.

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Luca Griguolo, Luigi Guerrini, Alessandro Testa. 2024-11-06. Into the wedge of $\mathcal{N}=2$ superconformal gauge theories. https://arxiv.org/abs/2411.04043

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