Randomness in conformal field theories

Randomness or genericity in quantum mechanics is manifested in correlations between energy levels. We review an ongoing attempt to quantify randomness in conformal field theories, which at large central charge can have random aspects despite the presence of large symmetry, primarily modular invariance. We show that the gravity wormhole amplitude emerges as a minimal expression which is both quantum chaotic and modular invariant.

A talk within the Pacific Northwest Particle Theory Seminar.