PIRSA:22100134 Scientific Series Quantum Fields and Strings

DOI10.48660/22100134

Series: Quantum Fields and Strings

Zahraee, Z. (2022). Bootstrapping N = 4 sYM correlators using integrability . Perimeter Institute. https://pirsa.org/22100134

Zahraee, Zahra. Bootstrapping N = 4 sYM correlators using integrability . Perimeter Institute, Oct. 14, 2022, https://pirsa.org/22100134 

@misc{ pirsa_PIRSA:22100134,
  doi = {10.48660/22100134},
  url = {https://pirsa.org/22100134},
  author = {Zahraee, Zahra},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Bootstrapping N = 4 sYM correlators using integrability },
  publisher = {Perimeter Institute},
  year = {2022},
  month = {oct},
  note = {PIRSA:22100134 see, \url{https://pirsa.org}}
}

Abstract

In this talk we combine integrability and conformal bootstrap to learn about correlation functions of planar maximally supersymmetric Yang- Mills theory. Focusing on correlators of four stress-tensor multiplets, we first introduce a set of dispersive sum rules that are only sensitive to single-traces in the OPE expansion (this is advantageous because this data is available from integrability). We then construct combinations of the sum rules which determine one-loop correlators. Further, we discuss how to employ the sum rules in numerical bootstrap to nonperturbatively bound planar OPE coefficients. As an example, we show a nontrivial upper bound on the OPE coefficient of the Konishi operator outside the perturbative regime. 

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