HEP Theory Journal Club

Applications of dispersive CFT Sum Rules

Anh-Khoi Trinh

McGill

Dispersion relations have recently been proven effective in constraining EFT couplings. In conformal field theories (CFTs), analogous constructions of non-perturbative CFT dispersive sum rules allow one to constrain CFT data. In this talk, we explore properties of CFT dispersive sum rules and we demonstrate their effectiveness in bootstrapping OPE data from the 3D Ising Model and N=4 SYM. In the latter case, we obtain novel bounds on the OPE coefficient of the Konishi operator at finite coupling.