A note on 't Hooft-line defect integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909334241280000 |
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| author | Dorigoni, Daniele |
| author_facet | Dorigoni, Daniele |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on 't Hooft-line defect integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory Dorigoni, Daniele High Energy Physics - Theory 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. |
| title | A note on 't Hooft-line defect integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.02377 |