Speaker: Daniele Artico

Title: The perturbative bootstrap of the Wilson-line defect CFT

Abstract:

We study the defect CFT associated with the half-BPS Wilson line in N=4 Super Yang-Mills theory in four dimensions. Using a perturbative bootstrap approach, we derive new analytical results for multipoint correlators of protected defect operators at weak coupling (https://inspirehep.net/literature/2839377) and correlators of one bulk and two defect local operators at strong coupling (https://inspirehep.net/literature/2839381) .

For multipoint correlators, we demonstrate that the simplest five- and six-point functions are fully determined by non-perturbative constraints — which include superconformal symmetry, crossing symmetry, and the pinching of operators to lower-point functions — as well as by a single integral, known as the train track integral. For bulk-defect-defect correlators, we prove that up to NLO the correlator is fully described by boundary integrals, and that transcendental terms cancel at weak coupling.