Explore top-down topological holography and twists on twistor space in this 51-minute conference talk by Natalie Paquette from the University of Washington. Delivered as part of the Gravity from algebra: modern field theory methods for holography conference at the Kavli Institute for Theoretical Physics, delve into recent developments in conformal field theory language and its applications to holography and quantum gravity. Examine the connections between consistency conditions in quantum gravity and conformal field theory, and investigate how they might lead to string/M-theory. Cover topics such as chiral algebras, operator product expansions, top-down holography, closed strings, and anomalies. Gain insights into the interplay between large N bootstrap, holographic CFTs, gravitational effective field theory, and the structure of AdS vacua.