The OPE Randomness Hypothesis and Euclidean Wormholes
ASC Workshops
English - April 06, 2021 16:18 - 1 hour - 660 MB Video - ★★★★★ - 1 ratingScience theretical physics workshops conferences quantum field theory string theory gravity Homepage Download Apple Podcasts Google Podcasts Overcast Castro Pocket Casts RSS feed
Recent developments in holography indicate that the semi-classical Euclidean path-integral of Einstein gravity is much more powerful than previously anticipated. It is capable of reproducing a unitary Page curve for black hole evaporation, and can even capture some features of the discrete nature of black hole microstates. Wormhole geometries play a key role in this context. I will propose a mechanism to explain this in the CFT: the OPE Randomness Hypothesis. This ansatz is a generalization of the Eigenstate Thermalization Hypothesis which applies to chaotic CFTs, and treats OPE coefficients of heavy operators as random variables with a given probability distribution. I will present two applications of this framework: First, it resolves a factorization puzzle in AdS_3/CFT_2 due to the genus-2 wormhole, as raised by Maoz and Maldacena. Second, it provides an argument against global symmetries in quantum gravity.