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


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.