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  • Letter
  • Open Access

Note on ’t Hooft-line defect integrated correlators in N=4 supersymmetric Yang-Mills theory

Daniele Dorigoni

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Phys. Rev. D 110, L121702 – Published 13 December, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L121702

Abstract

We derive the perturbative expansion of a particular integrated correlator of two superconformal primary operators in the stress tensor multiplet of 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 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.

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Phys. Rev. D 110, L121702– Published 13 December, 2024
  • Received 9 October 2024
  • Accepted 22 November 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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