# Bootstrapping N = 4 sYM correlators using integrability

### APA

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

### MLA

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

### BibTex

@misc{ 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}} }

Zahra Zahraee McGill University - Department of Physics

## 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.