A Celestial Matrix Model


Marteau, C. (2022). A Celestial Matrix Model. Perimeter Institute. https://pirsa.org/22100061


Marteau, Charles. A Celestial Matrix Model. Perimeter Institute, Oct. 06, 2022, https://pirsa.org/22100061


          @misc{ pirsa_22100061,
            doi = {10.48660/22100061},
            url = {https://pirsa.org/22100061},
            author = {Marteau, Charles},
            keywords = {},
            language = {en},
            title = {A Celestial Matrix Model},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100061 see, \url{https://pirsa.org}}


We construct a Hermitian random matrix model that provides a stable non-perturbative completion of Cangemi-Jackiw (CJ) gravity, a two-dimensional theory of black holes in asymptotically flat spacetimes. The matrix model reproduces, to all orders in the topological expansion, the Euclidean partition function of CJ gravity with an arbitrary number of boundaries. The non-perturbative completion enables the exact computation of observables in flat space quantum gravity which we use to explicitly characterize the Bondi Hamiltonian spectrum. We discuss the implications of our results for the flat space S-matrix and black holes.