PIRSA:17030084

Analyticity in Spin in Conformal Theories

Caron-Huot, S. (2017). Analyticity in Spin in Conformal Theories. Perimeter Institute. https://pirsa.org/17030084

Caron-Huot, Simon. Analyticity in Spin in Conformal Theories. Perimeter Institute, Mar. 15, 2017, https://pirsa.org/17030084 

          @misc{ pirsa_PIRSA:17030084,
            doi = {10.48660/17030084},
            url = {https://pirsa.org/17030084},
            author = {Caron-Huot, Simon},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Analyticity in Spin in Conformal Theories},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {mar},
            note = {PIRSA:17030084 see, \url{https://pirsa.org}}
          }

Simon Caron-Huot McGill University

DOI 10.48660/17030084
Collection
Talk Type Scientific Series
Subject

Abstract

The conformal bootstrap aims to calculate scaling dimensions and correlation functions in various theories, starting from general principles such as unitarity and crossing symmetry.  I will explain that local operators are not independent of each other but organize into analytic functions of spin, and I will present a formula which quantifies the consequences of this fact.  This will include a controlled approximation to the operator spectrum at large spin, as well as new bounds over the strength of bulk higher-derivative interactions in large-N theories with a sparse spectrum. These bounds, previously conjectured to exist using gauge-gravity duality, encode causality of the bulk theory.  Based on 1703.00278.