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A note on integrated correlators with a Wilson line in N=4 SYM

2024/05/17 by M. Billó, Billò, M., M. Frau +5
Mathematics · #Advanced Algebra and Geometry #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Holomorphic and Operator Theory #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.2405.10862

openalex publication_date 2024/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We revisit the analysis of the integrated 2-point functions of local operators with a (1)/(2)-BPS Wilson line in 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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