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

Dorigoni, Daniele

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


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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 𝒩=4 supersymmetric π‘†π‘ˆ(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 π‘†π‘ˆ(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. (2024). Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory. Physical Review D, 110(12), Article L121702. https://doi.org/10.1103/PhysRevD.110.L121702

Journal Article Type Article
Acceptance Date Nov 22, 2024
Online Publication Date Dec 13, 2024
Publication Date 2024-12
Deposit Date Dec 3, 2024
Publicly Available Date Dec 13, 2024
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 110
Issue 12
Article Number L121702
DOI https://doi.org/10.1103/PhysRevD.110.L121702
Public URL https://durham-repository.worktribe.com/output/3198849

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