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Henri Poincar\u00e9"],"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Jackiw\u2013Teitelboim dilaton quantum gravity localizes on a double-scaled random-matrix model, whose perturbative free energy is an asymptotic series. Understanding the resurgent properties of this asymptotic series, including its completion into a full transseries, requires understanding the nonperturbative instanton sectors of the matrix model for Jackiw\u2013Teitelboim gravity. The present work addresses this question by setting-up instanton calculus associated with eigenvalue tunneling (or ZZ-brane contributions), directly in the matrix model. In order to systematize such calculations, a nonperturbative extension of the topological recursion formalism is required\u2014which is herein both constructed and applied to the present problem. Large-order tests of the perturbative genus expansion validate the resurgent nature of Jackiw\u2013Teitelboim gravity, both for its free energy and for its (multi-resolvent) correlation functions. Both ZZ and FZZT nonperturbative effects are required by resurgence, and they further display resonance upon the Borel plane. Finally, the resurgence properties of the multi-resolvent correlation functions yield new and improved resurgence formulae for the large-genus growth of Weil\u2013Petersson volumes.<\/jats:p>","DOI":"10.1007\/s00023-023-01412-z","type":"journal-article","created":{"date-parts":[[2024,1,29]],"date-time":"2024-01-29T20:02:24Z","timestamp":1706558544000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Resurgent Asymptotics of Jackiw\u2013Teitelboim Gravity and the Nonperturbative Topological Recursion"],"prefix":"10.1007","author":[{"given":"Bertrand","family":"Eynard","sequence":"first","affiliation":[]},{"given":"Elba","family":"Garcia-Failde","sequence":"additional","affiliation":[]},{"given":"Paolo","family":"Gregori","sequence":"additional","affiliation":[]},{"given":"Danilo","family":"Lewa\u0144ski","sequence":"additional","affiliation":[]},{"given":"Ricardo","family":"Schiappa","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,1,29]]},"reference":[{"key":"1412_CR1","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/0370-2693(83)90012-6","volume":"126B","author":"C Teitelboim","year":"1983","unstructured":"Teitelboim, C.: Gravitation and Hamiltonian structure in two space-time dimensions. 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