Analytic functional bootstrap

by Miguel Paulos (ENS Paris)

Thursday 7 Nov 2019, 14:15 → 15:15 Europe/Berlin

Seminar Room 2 (DESY)

It is known that the crossing equation implies strong constraints on unitary CFT data, but extracting these is in general hard work. We introduce bases of linear functionals which provide an equivalent rewriting of the crossing equation in various dimensions. In this basis some optimal bounds can be derived analytically. Others can be obtained numerically very efficiently. Finally we show that the functionals analytically bootstrap perturbations around generalized free fields.