The Eigenstate Thermalization Hypothesis in JT gravity with matter

Abstract: I will discuss ongoing efforts to find a two-matrix model dual to JT gravity coupled to a free massive scalar field that admits an interpretation in terms of the Eigenstate Thermalization Hypothesis (ETH). The two Hermitian matrices, H and O, represent the boundary Hamiltonian and the boundary operator dual to the bulk scalar field. The gravitational path integral implies that the matrix elements of O in the H eigenbasis obey a certain constraint. We use this constraint to make a conjecture about the form of the matrix model potential. This conjecture can be tested using a q-deformation of JT gravity with matter. This talk is based on work in progress with Daniel Jafferis, Baur Mukhametzhanov, and Julian Sonner.

HEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

Purdue HET

Series comments: The recorded talks will be available on YouTube here: www.youtube.com/playlist?list=PLxU3vHZccQj64m9zsQR74D5WP1z1g4t1J