Würzburg Seminar on Quantum Field Theory and Gravity

Two-dimensional conformal field theories on compact spatial slices are very rigid structures, yet at large central charge and high-energy they are assumed to be dual to black hole physics in three dimensions. Therefore at least a sector of the CFT should not just be chaotic but maximally chaotic. We will discuss a class of high-energy atypical pure states and measure these states with low-energy probe observables. For two probes we will see that there is a long-lived equilibrium mode that at late times drives the two-point expectation values to their thermal values. For four probe operators we can extract the quantum Lyapunov exponent and show that it saturates the Maldacena-Shenker-Stanford bound.