Bootstrapping pions at large N

We revisit from a modern bootstrap perspective the longstanding problem of solving QCD in large $N$ limit. derive universal bounds on effective field theory massless pions by imposing full set positivity constraints that follow $2 \to 2$ scattering. Some features our exclusion plots have intriguing connections with hadronic phenomenology. The boundary exhibits sharp kink, raising tantalizing scenario may sit at this kink. critically examine possibility, developing process partial analytic understanding geometry bounds.