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arXiv · 2509.18916

Dynamical Triangulations for 2D Pure Gravity and Topological Recursion

Hiroyuki Fuji·Masahide Manabe·Yoshiyuki Watabiki
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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.

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Hiroyuki Fuji, Masahide Manabe, Yoshiyuki Watabiki. 2025-09-23. Dynamical Triangulations for 2D Pure Gravity and Topological Recursion. https://doi.org/10.1007/jhep05(2026)208

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