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.

Bootstrapping the half-BPS line defect CFT in $mathcal{N}=4$ SYM at strong coupling / Ferrero, Pietro; Meneghelli, Carlo. - In: PHYSICAL REVIEW D. - ISSN 2470-0029. - (2021).

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

Meneghelli, Carlo
2021

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.
Bootstrapping the half-BPS line defect CFT in $mathcal{N}=4$ SYM at strong coupling / Ferrero, Pietro; Meneghelli, Carlo. - In: PHYSICAL REVIEW D. - ISSN 2470-0029. - (2021).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2914561
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