N = 2 JT supergravity and matrix models

Gustavo J. Turiaci, Edward Witten

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Generalizing previous results for N = 0 and N = 1, we analyze N = 2 JT supergravity on asymptotically AdS2 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.

Original languageEnglish (US)
Article number3
JournalJournal of High Energy Physics
Volume2023
Issue number12
DOIs
StatePublished - Dec 2023
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Black Holes
  • Extended Supersymmetry
  • Matrix Models

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