A Celestial Matrix Model

<!--HTML--><p>Understanding the proper formulation of AdS holography in two spacetime dimensions has led to fascinating progress in several directions.&nbsp; The main novel ingredient compared to higher dimensions is that the asymptotic behavior of the metric is only "nearly'' AdS in a certain precise sense.&nbsp; This difference allows for a very simple theory, Jackiw-Teitelboim gravity, to have a non-perturbative completion as a Hermitian matrix model.&nbsp; In this talk, we propose analogous modifications of the flat space boundary conditions in two dimensional dilaton gravity.&nbsp; These modifications allow a very simple theory, which we call Cangemi-Jackiw gravity, to have a non-perturbative completion as a random matrix model.&nbsp; We will discuss the Lorentzian and Euclidean formulations of this model, challenges in computing its non-perturbative scattering matrix, and which of its lessons are potentially applicable to four-dimensional celestial holography.</p>