A note on 't Hooft-line defect integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory

Daniele Dorigoni

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arXiv · 2410.02377

A note on 't Hooft-line defect integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory

Daniele Dorigoni

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Abstract

We derive the perturbative expansion of a particular integrated correlator of two superconformal primary operators in the stress tensor multiplet of $\mathcal{N}=4$ supersymmetric $SU(N)$ Yang-Mills theory in the presence of a half-BPS 't Hooft-line defect. The calculation is based on a recently derived expression for this physical observable in terms of a two-dimensional lattice sum with manifest automorphic properties under the electromagnetic duality group. When the gauge group is $SU(2)$, this analysis matches with the presented supersymmetric localisation approach while for higher-rank gauge groups, where no alternative formulation is available, the methods introduced prove to be crucial in obtaining the perturbative expansion of integrated correlators for 't Hooft-line defects.

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Daniele Dorigoni. 2024-10-03. A note on 't Hooft-line defect integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory. https://arxiv.org/abs/2410.02377

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