Dynamical Triangulations for 2D Pure Gravity and Topological Recursion

2025/09/23 by Fuji, Hiroyuki, Manabe, Masahide, Watabiki, Yoshiyuki · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2509.18916

Abstract

We show that, in two-dimensional Euclidean quantum gravity without matter fields, the Schwinger-Dyson equations derived within the Hamiltonian framework of non-critical string field theory can be reformulated in terms of the Chekhov-Eynard-Orantin topological recursion, and we explicitly compute the associated low-order amplitudes. In particular, we establish this reformulation for two discrete models -- the basic type and the strip type -- as well as for the continuum limit of dynamical triangulations.

Citations

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

Cited by

• A Hamiltonian Formalism for Topological Recursion
• Multicritical Dynamical Triangulations and Topological Recursion

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