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Title: $$ \mathcal{N} $$ = 2 JT supergravity and matrix models
A<sc>bstract</sc> Generalizing previous results for$$ \mathcal{N} $$ N = 0 and$$ \mathcal{N} $$ N = 1, we analyze$$ \mathcal{N} $$ N = 2 JT supergravity on asymptotically AdS2spaces 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 differentR-charge are statistically independent and each is described by its own$$ \mathcal{N} $$ N = 2 random matrix ensemble. We also analyze the case with a time-reversal symmetry, either commuting or anticommuting with theR-charge. In order to compare supergravity to random matrix theory, we develop an$$ \mathcal{N} $$ N = 2 analog of the recursion relations for Weil-Petersson volumes originally discovered by Mirzakhani in the bosonic case.  more » « less
Award ID(s):
2207584
PAR ID:
10499770
Author(s) / Creator(s):
;
Publisher / Repository:
https://inspirehep.net/
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2023
Issue:
12
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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