Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion

التفاصيل البيبلوغرافية
العنوان: Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion
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