\(\mathcal{N} = 2\) JT supergravity and matrix models

DOI10.1007/JHEP12(2023)003arXiv2305.19438MaRDI QIDQ6119988

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Publication date: 20 February 2024

Published in: (Search for Journal in Brave)

Abstract: Generalizing previous results for $mathcalN=0$ and $mathcalN=1$, we analyze $mathcalN=2$ JT supergravity on asymptotically AdS${}_2$ 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 $R$-charge are statistically independent and each is described by its own $mathcalN=2$ random matrix ensemble. We also analyze the case with a time-reversal symmetry, either commuting or anticommuting with the $R$-charge. In order to compare supergravity to random matrix theory, we develop an $mathcalN=2$ analog of the recursion relations for Weil-Petersson volumes originally discovered by Mirzakhani in the bosonic case.

Full work available at URL: https://arxiv.org/abs/2305.19438

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