Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911699024478208 |
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| author | Fuji, Hiroyuki Manabe, Masahide Watabiki, Yoshiyuki |
| author_facet | Fuji, Hiroyuki Manabe, Masahide Watabiki, Yoshiyuki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18916 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical Triangulations for 2D Pure Gravity and Topological Recursion Fuji, Hiroyuki Manabe, Masahide Watabiki, Yoshiyuki High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics 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. |
| title | Dynamical Triangulations for 2D Pure Gravity and Topological Recursion |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2509.18916 |