Integrability and conformal bootstrap: One dimensional defect conformal field theory
Andrea Cavaglià, Nikolay Gromov, Julius Julius, Michelangelo Preti
Abstract
In this paper we study how the exact nonperturbative integrability methods in $4D$ $\mathcal{N}=4$ super-Yang-Mills can work efficiently together with the numerical conformal bootstrap techniques to go beyond the spectral observables and access previously unreachable quantities such as correlation functions at finite coupling. In the setup of 1D defect conformal field theory living on a Maldacena-Wilson line, we managed to compute with good precision a nonsupersymmetric structure constant for a wide range of the `t Hooft coupling. Our result is particularly precise at strong coupling and matches well with the recent analytic results of Meneghelli and Ferrero.
Topics & Concepts
Conformal mapObservableConformal field theoryPhysicsCoupling (piping)Coupling constantField (mathematics)Mathematical physicsTheoretical physicsWork (physics)Constant (computer programming)Range (aeronautics)Quantum electrodynamicsQuantum mechanicsMathematicsPure mathematicsMathematical analysisComputer scienceEngineeringProgramming languageAerospace engineeringMechanical engineeringBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsPhysics of Superconductivity and Magnetism