PIRSA:17030084 Scientific Series Quantum Fields and Strings

DOI10.48660/17030084

Series: Quantum Fields and Strings

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}}
}

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.

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