Zahra will present some of her recent and ongoing work. Her talk will be preceded by the general discussion of papers.

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Abstract: In this talk we use integrability data to bootstrap correlation functions of planar maximally supersymmetric Yang- Mills theory. Focusing on four-point correlation function of stress-tensor, we first introduce a set of 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 discuss how these sum rules can be employed in numerical bootstrap to nonperturbatively bound planar OPE coefficients. As an example, we show a nontrivial result for the OPE coefficient of the Konishi operator outside the perturbative regime. Time permitting, we then construct combinations of the sum rules which determine one-loop correlators.