A note on integrated correlators with a Wilson line in $\mathcal{N}=4$ SYM
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911879519010816 |
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| author | Billò, M. Frau, M. Galvagno, F. Lerda, A. |
| author_facet | Billò, M. Frau, M. Galvagno, F. Lerda, A. |
| contents | We revisit the analysis of the integrated 2-point functions of local operators with a $\frac{1}{2}$-BPS Wilson line in $\mathcal{N}=4$ SYM. After including suitable parity-odd terms in the parametrization of the defect correlators, we are able to solve the superconformal Ward identities in terms of an unconstrained function of the cross-ratios. Exploiting this general solution, we obtain a simple expression of the integration measure for the integrated correlators with a Wilson line. We test our result by integrating the available bootstrap expression of the unintegrated correlator at strong coupling against the predictions of supersymmetric localization, finding perfect agreement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10862 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on integrated correlators with a Wilson line in $\mathcal{N}=4$ SYM Billò, M. Frau, M. Galvagno, F. Lerda, A. High Energy Physics - Theory We revisit the analysis of the integrated 2-point functions of local operators with a $\frac{1}{2}$-BPS Wilson line in $\mathcal{N}=4$ SYM. After including suitable parity-odd terms in the parametrization of the defect correlators, we are able to solve the superconformal Ward identities in terms of an unconstrained function of the cross-ratios. Exploiting this general solution, we obtain a simple expression of the integration measure for the integrated correlators with a Wilson line. We test our result by integrating the available bootstrap expression of the unintegrated correlator at strong coupling against the predictions of supersymmetric localization, finding perfect agreement. |
| title | A note on integrated correlators with a Wilson line in $\mathcal{N}=4$ SYM |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.10862 |