AdS3/RMT2 Duality

We introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS3 quantum gravity. This is anchored by a 2d CFT trace formula, analogous to the Gutzwiller trace formula for chaotic quantum systems. We use this framework to understand the Cotler-Jensen torus wormhole of AdS3 pure gravity from a microscopic CFT point of view. Factorizing the wormhole generates a new, non-perturbative piece of the AdS3 pure gravity path integral with torus boundary, containing fine-grained spectral data of pure gravity black hole microstates.