HOLOTUBE: Causal symmetry breaking: from quantum chaos to wormholes

Quantum chaotic systems are often defined via the assertion that their spectral statistics coincides with, or is well approximated by random matrix theory. In this talk I will explain how the universal content of random matrix theory emerges as the consequence of a simple symmetry-breaking principle and its associated Goldstone modes. This approach gives a natural way to identify wormhole-like correlations, even for individual theories, in particular in theories with gravity duals.
I will also discuss how to extend the Goldstone effective-field-theory approach to study operator correlation functions, and explain the relation of the EFT of quantum chaos to the bulk physics of wormhole-like geometries.