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arXiv · 2506.16905

Integrated correlators of coincident Wilson lines in $SU(N)$ gauge theories at strong coupling

Lorenzo De Lillo·Alessandro Pini
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Abstract

We consider two four-dimensional gauge theories with gauge group $SU(N)$: the $\mathcal{N}=4$ Super Yang-Mills (SYM) theory and the $\mathcal{N}=2$ quiver gauge theory obtained as a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ SYM. In this context, we study a novel class of integrated correlators, namely those involving $n$-coincident Wilson lines and two moment map operators of conformal dimension two. By exploiting supersymmetric localization, we obtain exact expressions for these observables valid in the large-$N$ limit. Furthermore, using a combination of analytical and numerical methods, we derive their strong coupling expansions.

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Lorenzo De Lillo, Alessandro Pini. 2025-06-20. Integrated correlators of coincident Wilson lines in $SU(N)$ gauge theories at strong coupling. https://doi.org/10.1007/jhep10(2025)089

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