Time: 10:00-11:30 2024/03/27

Location: 401, 7th building, KITS

Speaker: Leonardo Santilli (Tsinghua U., Beijing)

Abstract:

The algebras of operators in a large N QFT serve as diagnostics of the presence of a black hole horizon in the holographic bulk. I will construct quantum mechanical systems and explicitly show the emergence of Type III_1 von Neumann algebras at large N. These models are simple enough for analytic treatment, but mimic the salient features of black hole horizons. Their partition functions are matrix integrals, solvable at large N. One of the main results is a formula relating the spectral densities underlying the algebras to the eigenvalue densities of the matrix models. I will provide concrete examples showcasing the derivation. Based on arXiv:2402.10262.