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<p>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.</p>

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Dynamical triangulations for 2D pure gravity and topological recursion

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月19日

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  • Hiroyuki Fuji,
  • Masahide Manabe,
  • Yoshiyuki Watabiki

摘要

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.