$N=2$ JT Supergravity and Matrix Models
Abstract
Generalizing previous results for and , we analyze JT supergravity on asymptotically AdS spaces with arbitrary topology and show that this theory of gravity is dual, in a holographic sense, to a certain random matrix ensemble in which supermultiplets of different -charge are statistically independent and each is described by its own random matrix ensemble. We also analyze the case with a time-reversal symmetry, either commuting or anticommuting with the -charge. In order to compare supergravity to random matrix theory, we develop an analog of the recursion relations for Weil-Petersson volumes originally discovered by Mirzakhani in the bosonic case.
Keywords
Cite
@article{arxiv.2305.19438,
title = {$N=2$ JT Supergravity and Matrix Models},
author = {Gustavo J. Turiaci and Edward Witten},
journal= {arXiv preprint arXiv:2305.19438},
year = {2023}
}
Comments
125 pages. v2: ref added and typos corrected. v3: two tables added in the introduction summarizing the properties of JT supergravities and for N=2 their random matrix ensembles. v4: typos corrected in section 5.5