Note on ’t Hooft-line defect integrated correlators in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:math> supersymmetri

We derive the perturbative expansion of a particular integrated correlator of two superconformal primary operators in the stress tensor multiplet of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi mathvariant="script">N</a:mi><a:mo>=</a:mo><a:mn>4</a:mn></a:math> supersymmetric <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mi>S</d:mi><d:mi>U</d:mi><d:mo stretchy="false">(</d:mo><d:mi>N</d:mi><d:mo stretchy="false">)</d:mo></d:math> 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 <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mi>S</h:mi><h:mi>U</h:mi><h:mo stretchy="false">(</h:mo><h:mn>2</h:mn><h:mo stretchy="false">)</h:mo></h:math>, this analysis matches with the presented supersymmetric localization 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. Published by the American Physical Society 2024