The Page curve of Hawking radiation from semiclassical geometry - Virtual Seminar

by Raghu Mahajan (Princeton University)

Monday 23 Sept 2019, 15:00 → 16:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

Abstract: We consider a gravity theory coupled to matter, where the matter QFT has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this simplification, we compute the entropy of Hawking radiation and show that it follows the Page curve. At late times, the entanglement wedge of the radiation includes the black hole interior. The higher-dimensional geometry provides an explicit geometric connection between the radiation and the black hole interior, in the spirit of ER=EPR. Finally, inspired by this example, we also propose a new rule for computing the entropy of quantum systems that are entangled with gravitational systems. This new rule involves searching for "islands" in determining the entanglement wedge.