Spin Glasses and Holography

This lecture explores the connection between spin glasses and holography, focusing on the role of disorder and averaging in AdS/CFT discussions. It delves into topics such as the SYK model, the pseudo-Goldstone associated with reparametrizations, and the quantum butterfly effect. The speaker discusses the characteristic properties of the spin glass phase, the behavior of the Lyapunov exponent, and the fate of zero temperature entropy. The lecture also touches upon the complexity of canonical ensembles, the p-spin spherical model, and the large N effective action for the SU(M) Heisenberg magnet. The analytical treatment of the transition from the deconfined SYK spin liquid to the confined spin glass is also presented.