Theory HEP Seminar

Virasoro analytic bootstrap and the bound state spectrum of 3D quantum gravity

Scott Collier

Harvard

Every CFT in dimensions greater than two contains an infinite set of Regge trajectories of local operators which, at large spin, asymptote to the evenly-spaced “double-twist” composites with vanishing anomalous dimensions. In two dimensions, due to the existence of local conformal symmetry, this and other central results of the conformal bootstrap do not apply. In this talk I will discuss the incorporation of stress tensor dynamics into the CFT₂ analytic bootstrap program and the non-perturbative implications for the dynamics and spectrum of AdS₃ quantum gravity, including an exact formula for the gravitational binding energy of multi-particle bound states at finite Newton's constant.