2016 CAP Congress / Congrès de l'ACP 2016

Conformal Bootstrap in Embedding Space

13 Jun 2016, 16:15

15m

SITE C0136 (University of Ottawa)

Oral (Non-Student) / orale (non-étudiant) Theoretical Physics / Physique théorique (DTP-DPT) M3-3 Fields and Strings (DTP) / Champs et cordes (DPT)

Speaker

Prof. Jean-Francois Fortin (Laval University)

Description

We show how to obtain all conformal blocks from embedding space with the help of the operator product expansion. The minimal conformal block originates from scalar exchange in a four-point correlation functions of four scalars. All remaining conformal blocks are simple derivatives of the minimal conformal block. With the help of the orthogonality properties of the conformal blocks, the analytic conformal bootstrap can be implemented directly in embedding space, leading to a Jacobi-like definition of conformal field theories.