High Energy Theory Seminar

The analytic bootstrap has revealed universal constraints and structures in higher dimensional CFTs which relate causality, positive energy conditions, and large spin subsectors of the theory. I will present recent work extending the study of the bootstrap equations to the Regge limit for large N CFTs. Using both the chaos bound and crossing symmetry, I will present new constraints on anomalous dimensions and OPE coefficients of double trace states and the couplings of operators to the leading Regge trajectory. Using AdS/CFT, these bounds come from requiring bulk causality and unitarity. Finally, I will show how solving the crossing equations in the Regge limit leads naturally to the construction of AdS exchange diagrams.