Special Theory HEP Seminar

Analytic functionals and Polyakov bootstrap in Boundary CFTs

Apratim Kaviraj

École normale supérieure & Institut de Physique Théorique Philippe Meyer

I will talk about the functional approach to Conformal bootstrap. Analytic functionals provide a bootstrap basis, that is built on the analytic understanding of a CFT. This method has a direct connection to the Mellin/Polyakov bootstrap, and fixes the so-called “Polynomial ambiguity” that limits the applicability of the latter. I will explain this for the case of Boundary CFT-s, where we have two different spectrum of operators to fix. I will demonstrate the working with an example.