Path integrals in JT gravity and Virasoro constraints

Abstract

We compute the higher-genus contributions to the correlation functions in Jackiw-Teitelboim gravity, by utilizing the large-g asymptotics of the Weil-Petersson volumes as functions of genus g and the number of boundaries, n, obtained in a previous study. We also compute the higher-genus contributions to resolvents on the matrix-integral side for any n number of boundaries of the Riemann surfaces. Further, we compute the intersection numbers on the moduli space of the Riemann surfaces of large genera with any n number of boundaries, focusing on the cases with two or more boundaries (n ≥ 2).