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arXiv · 2405.10862

A note on integrated correlators with a Wilson line in $\mathcal{N}=4$ SYM

M. Billò·M. Frau·F. Galvagno·A. Lerda
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Abstract

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.

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M. Billò, M. Frau, F. Galvagno, A. Lerda. 2024-05-17. A note on integrated correlators with a Wilson line in $\mathcal{N}=4$ SYM. https://arxiv.org/abs/2405.10862

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