The P-Spin Glass Model - A Holographer's Perspective

Explore the p-spin Glass Model from a holographer's perspective in this high-energy theory seminar. Delve into a large-N bosonic quantum mechanical sigma-model with a spherical target space subject to disordered interactions. Examine the spin glass phase that emerges at low temperatures and weak quantum fluctuations, featuring broken replica symmetry and emergent conformal symmetry. Investigate an approximate analytical solution interpolating between the conformal regime and finite short-distance solutions. Analyze real-time dynamics, focusing on quantum chaos measured by out-of-time-order four-point functions. Discover the intricate dependence of exponential Lyapunov growth on model couplings and the reduced Lyapunov exponent in the spin glass phase. Consider the implications of these findings for holography, including the potential vanishing of the Lyapunov exponent in an infinite coupling limit.

Introduction
Outline
Syk Model
Chaos
Phenomenology
Goals
The Model
Free Energy
Equations
Phase diagram
Paramagnetic solution
Unstable solution
Another approximation
Features of the approximation
Results of the approximation
The size of the blocks
Entropic quantity
Fourpoint functions
Numerical results
Speculations