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

Dorigoni, Daniele

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 𝑆⁢𝑈⁡(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 𝑆⁢𝑈⁡(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.

Citation

Dorigoni, D. (in press). Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory. Physical Review D,

• Journal Article Type: Article
• Acceptance Date: Nov 22, 2024
• Deposit Date: Dec 3, 2024
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Public URL: https://durham-repository.worktribe.com/output/3198849
• Publisher URL: https://journals.aps.org/prd/
• Related Public URLs: https://journals.aps.org/prd/accepted/57077Ye7K5214a80f28c6c953a89eeced051f7e16