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Bootstrapping the half-BPS line defect CFT in $\mathcal{N}=4$ SYM at strong coupling

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arxiv 2103.10440 v2 pith:Y64L3RBS submitted 2021-03-18 hep-th math-phmath.MP

Pietro Ferrero , Carlo Meneghelli This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords operatorcouplinghalf-bpslinemathcalstrongaddressagreement
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider the 1d CFT defined by the half-BPS Wilson line in planar $\mathcal{N}=4$ super Yang-Mills. Using analytic bootstrap methods we derive the four-point function of the super-displacement operator at fourth order in a strong coupling expansion. Via AdS/CFT, this corresponds to the first three-loop correlator in AdS ever computed. To do so we address the operator mixing problem by considering a family of auxiliary correlators. We further extract the anomalous dimension of the lightest non-protected operator and find agreement with the integrability-based numerical result of Grabner, Gromov and Julius.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bouncing singularities and thermal correlators on line defects

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.

  2. The analytic bootstrap at finite temperature

    hep-th 2025-06 conditional novelty 7.0 of 10

    Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.

  3. Probing Line Defect CFT with Mixed-Correlator Bootstrability

    hep-th 2024-12 conditional novelty 6.0 of 10

    Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.

  4. Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect

    hep-th 2025-06 conditional novelty 4.0 of 10

    A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.

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