Analyticity in Spin and Causality Constraints in Conformal Bootstrap - ICBS 2024

Explore the intricacies of the conformal bootstrap in this 53-minute lecture by Simon Caron Huot at BIMSA. Delve into the organization of local operators into analytic functions of spin and understand the formula interpreted as a dispersion relation for conformal four-point correlators. Discover applications for obtaining controlled approximations to the operator spectrum at large spin and examine new bounds in large-N theories with a sparse spectrum, revealing bulk locality of the AdS/CFT dual theory. Learn how the conformal bootstrap calculates scaling dimensions and correlation functions in various theories, based on general principles like unitarity and crossing symmetry. Gain insights from the research presented in paper 1703.00278, as Caron Huot discusses analyticity in spin and causality constraints in the context of the International Conference on Bootstrap and Symmetries 2024.