Orateur
Description
We continue to develop a method merging Integrability and Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such as N =4 SYM.
We consider the 1D defect CFT defined line in the theory, whose non-perturbative spectrum is governed by the Quantum Spectral Curve (QSC). In addition, we use that the deformed setup of a cusped Wilson line is also controlled by the QSC, which translates into two nontrivial relations connecting integrated 4-point correlators to cusp spectral data, such as the Bremsstrahlung and Curvature functions – known analytically from the QSC. Combining these new constraints and the spectrum of the 10 lowest-lying states with the Numerical Conformal Bootstrap, we obtain very sharp rigorous numerical bounds for the structure constant of the first nonprotected states. Furthermore, we will discuss analytic results and extension to multi-correlators.
