Superconformal Two-Point Functions of the Nahm Pole Defect in $\mathcal{N}=4$ Super-Yang-Mills Theory
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909094730792960 |
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| author | Baerman, Jonah Chalabi, Adam Kristjansen, Charlotte |
| author_facet | Baerman, Jonah Chalabi, Adam Kristjansen, Charlotte |
| contents | We derive a manifestly superconformal expression for the leading-order two-point functions of all single trace chiral primary operators in 4d $\mathcal{N}=4$ super-Yang-Mills theory with a co-dimension one Nahm pole defect. Notably, our result involves only a finite number of superblocks that correspond to 1/2-BPS representations in the defect channel. The derivation builds on a non-trivial exact result for traces of fuzzy spherical harmonics in combination with powers of $\mathfrak{su}(2)$ generators, which leads to a remarkably compact expression for the bulk-to-defect couplings. Apart from being interesting in its own right as a closed-form expression at finite $N$, the final result is an essential prerequisite for applying the defect superconformal bootstrap programme to this model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13749 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superconformal Two-Point Functions of the Nahm Pole Defect in $\mathcal{N}=4$ Super-Yang-Mills Theory Baerman, Jonah Chalabi, Adam Kristjansen, Charlotte High Energy Physics - Theory We derive a manifestly superconformal expression for the leading-order two-point functions of all single trace chiral primary operators in 4d $\mathcal{N}=4$ super-Yang-Mills theory with a co-dimension one Nahm pole defect. Notably, our result involves only a finite number of superblocks that correspond to 1/2-BPS representations in the defect channel. The derivation builds on a non-trivial exact result for traces of fuzzy spherical harmonics in combination with powers of $\mathfrak{su}(2)$ generators, which leads to a remarkably compact expression for the bulk-to-defect couplings. Apart from being interesting in its own right as a closed-form expression at finite $N$, the final result is an essential prerequisite for applying the defect superconformal bootstrap programme to this model. |
| title | Superconformal Two-Point Functions of the Nahm Pole Defect in $\mathcal{N}=4$ Super-Yang-Mills Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.13749 |