Random Matrix Universality in CFTs

This lecture delves into the concept of random matrix universality in conformal field theories (CFTs), exploring the connection between chaotic behavior and random matrix statistics. The instructor discusses the spectral form factor, the role of modular invariance, and the interpretation of wormholes in ADS-3 gravity. By analyzing the overlap of spectral decompositions, the lecture uncovers a unique relationship between the chaotic part of the spectrum and the random matrix behavior. The presentation provides insights into the microscopic accounting of wormholes and the implications for understanding the black hole microstate spectrum in gravity.