A position-space flat-space limit formula for holographic defect two-point functions is derived, proven equivalent to the Mellin-space conjecture, and checked against Wilson loops, surface defects, and giant gravitons.
A note on integrated correlators with a Wilson line in $\mathcal{N}=4$ SYM
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2025 1verdicts
ACCEPT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Notes on flat-space limit of holographic defect correlators in position space
A position-space flat-space limit formula for holographic defect two-point functions is derived, proven equivalent to the Mellin-space conjecture, and checked against Wilson loops, surface defects, and giant gravitons.