$N=2$ JT Supergravity and Matrix Models

Abstract

Generalizing previous results for $N=0$ and $N=1$, we analyze $N=2$ 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 $N=2$ 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 $N=2$ analog of the recursion relations for Weil-Petersson volumes originally discovered by Mirzakhani in the bosonic case.

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

Cited by in corpus (3)

• The Virasoro Minimal String
• Branes in JT (super)gravity from group theory
• Les Houches lectures on two-dimensional gravity and holography