Multicritical Dynamical Triangulations and Topological Recursion

2025/12/11 by Fuji, Hiroyuki, Manabe, Masahide, Watabiki, Yoshiyuki
#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.2512.10519

Abstract

We explore a continuum theory of multicritical dynamical triangulations and causal dynamical triangulations in two-dimensional quantum gravity from the perspective of the Chekhov-Eynard-Orantin topological recursion. The former model lacks a causal time direction and is governed by the two-reduced W⁽³⁾ algebra, whereas the latter model possesses a causal time direction and is governed by the full W⁽³⁾ algebra. We show that the topological recursion solves the Schwinger-Dyson equations for both models, and we explicitly compute several amplitudes.

Citations

• A Hamiltonian Formalism for Topological Recursion
• Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
• From Minimal Strings towards Jackiw-Teitelboim Gravity: On their Resurgence, Resonance, and Black Holes
• JT gravity as a matrix integral
• Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
• Invariants of algebraic curves and topological expansion

Related

• Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
• Topology Change and the Emergence of Geometry in Two Dimensional Causal Quantum Gravity
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