Bootstrapping N = 4 sYM correlators using integrability

PIRSA ID: 22100134
Event Type: Seminar
Domaine(s) scientifique(s) :
Quantum Fields and Strings
Date de fin :
Speaker(s):
  • Zahra Zahraee, McGill University - Department of Physics

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.