Madalena Lemos, Stony Brook
The Conformal Bootstrap Program in \(d=4\)

In this talk we review recent progress in the conformal bootstrap program that started with the pioneering work of Rattazzi, Rychkov, Tonni and Vichi (arXiv: 0807.004), mostly focusing on four dimensions. The idea behind this program is to find which values of operator dimensions and operator product expansion coefficients are compatible with the constraints imposed by unitarity and crossing symmetry on four-point correlation functions. In this way one can obtain bounds on these quantities, even if numerically, that must be satisfied in order to have a consistent CFT.