M. Paulos, ENS

Title: “A more functional bootstrap”

The conformal bootstrap aims to systematically constrain CFTs based on
crossing symmetry and unitarity.
In this talk I will introduce a new approach to extract information from
the crossing symmetry sum rules, based on the construction of linear
functionals with certain positivity properties. I show these functionals allow us to
derive optimal bounds on CFT data. Furthemore I will argue that special
extremal solutions to crossing form a basis for the crossing equation, with
the functionals living in the dual space.