Sebastian Fischetti, McGill University

"Recovering a Holographic Geometry from Entanglement"

Abstract: The AdS/CFT correspondence provides a remarkably useful tool for asking questions in quantum gravity, as it formulates a theory of quantum gravity in terms of an ordinary non-gravitational quantum field theory. Fruitfully exploiting this correspondence therefore requires understanding how to translate the language of QFT into gravity; a key insight that has emerged over the past decade is that the entanglement structure of the QFT must be intimately tied to the emergence of the gravitational dual (when a classical geometric picture even exists). In my talk, I'll review what is currently known about this emergence (so-called bulk reconstruction), and then discuss some recent results on precisely how the entanglement of the QFT fixes the geometry on the gravitational side. I'll conclude with some open directions, notably how the result I'll present is amenable to incorporating quantum corrections, thereby opening a tractable window into quantum gravitational effects.