Bootstrapping Quantum Gravity

The AdS/CFT Correspondence, an enduring cornerstone of theoretical physics, turns 25 in November 2022. An outstanding problem in AdS/CFT is to understand the origins of the correspondence in the most fundamental terms possible. Harnessing substantial progress over the last several years in nonperturbative quantum and conformal field theory, this program will develop a constructive approach to the emergence of bulk spacetime in AdS/CFT, rooted in the rigorous modern language of conformal field theory and the conformal bootstrap. By leveraging a new generation of techniques, the program aims to constrain gravitational observables and to sharpen our understanding of the principles governing the quantum gravity landscape. The program will extend the horizons of the conformal bootstrap itself, by applying existing techniques to new holographic observables and by drawing lessons from non-bootstrap approaches.