تقرير
Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion
العنوان: | Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion |
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المؤلفون: | Eynard, Bertrand, Garcia-Failde, Elba, Gregori, Paolo, Lewanski, Danilo, Schiappa, Ricardo |
سنة النشر: | 2023 |
المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Mathematics - Algebraic Geometry, Mathematics - Symplectic Geometry |
الوصف: | Jackiw-Teitelboim 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-Teitelboim gravity. The present work addresses this question by setting-up instanton calculus associated to 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 -- which is herein both constructed and applied to the present problem. Large-order tests of the perturbative genus expansion validate the resurgent nature of Jackiw-Teitelboim 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-Petersson volumes. Comment: 63 pages, 52 plots in 16 figures, jheppub-nosort.sty; v2: minor corrections/typos |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2305.16940 |
رقم الأكسشن: | edsarx.2305.16940 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |