{"paper":{"title":"Nonperturbative effects and resurgence in JT gravity at finite cutoff","arxiv_id":"2106.01375","primary_cat":"hep-th","submitted_at":"2021-06-02T18:00:01+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.92,"id":"s0","own":true,"role":"contribution","text":"We investigate the nonperturbative structure of Jackiw-Teitelboim gravity at finite cutoff, as given by its proposed formulation in terms of a $T\\bar{T}$-deformed Schwarzian quantum mechanics.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.8,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.08,"limitation":0.0,"future_work":0.0,"contribution":0.92,"interpretation":0.0}},{"i":1,"p":0.93,"id":"s1","own":true,"role":"method","text":"Our starting point is a careful computation of the disk partition function to all orders in the perturbative expansion in the cutoff parameter.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.95,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.93,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.07,"interpretation":0.0}},{"i":2,"p":0.9,"id":"s2","own":true,"role":"result","text":"We show that the perturbative series is asymptotic and that it admits a precise completion exploiting the analytical properties of its Borel transform, as prescribed by resurgence theory.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.34,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.9,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.0}},{"i":3,"p":1.0,"id":"s3","own":true,"role":"interpretation","text":"The final result is then naturally interpreted in terms of the nonperturbative branch of the $T\\bar{T}$-deformed spectrum.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.85,"main_claim_p":0.28,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":1.0}},{"i":4,"p":0.55,"id":"s4","own":true,"role":"contribution","text":"The finite-cutoff trumpet partition function is computed by applying the same strategy.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.42,"result":0.03,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.55,"interpretation":0.0}},{"i":5,"p":0.91,"id":"s5","own":true,"role":"contribution","text":"In the second part of the paper, we propose an extension of this formalism to arbitrary topologies, using the basic gluing rules of the undeformed case.","hedge":{"p":0.75,"label":"asserted"},"own_p":0.87,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.08,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.01,"contribution":0.91,"interpretation":0.0}},{"i":6,"p":0.85,"id":"s6","own":true,"role":"result","text":"The Weil-Petersson integrations can be safely performed due to the nonperturbative corrections and give results that are compatible with the flow equation associated with the $T\\bar{T}$ deformation.","hedge":{"p":0.81,"label":"asserted"},"own_p":0.86,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.04,"result":0.85,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.08}},{"i":7,"p":0.77,"id":"s7","own":true,"role":"result","text":"We derive exact expressions for general topologies and show that these are captured by a suitable deformation of the Eynard-Orantin topological recursion.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.21,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.77,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.23,"interpretation":0.0}},{"i":8,"p":0.88,"id":"s8","own":true,"role":"contribution","text":"Finally, we study the \"slope\" and \"ramp\" regimes of the spectral form factor as functions of the cutoff parameter.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.94,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.12,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.88,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.41,"text":"We show that the perturbative series is asymptotic and that it admits a precise completion exploiting the analytical properties of its Borel transform, as prescribed by resurgence theory.","location":"abstract 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