A Hamiltonian Formalism for Topological Recursion
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911336951185408 |
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| author | Fuji, Hiroyuki Manabe, Masahide Watabiki, Yoshiyuki |
| author_facet | Fuji, Hiroyuki Manabe, Masahide Watabiki, Yoshiyuki |
| contents | We propose a string field Hamiltonian formalism that associates a class of spectral curves and provides their quantization through the Chekhov-Eynard-Orantin topological recursion. As illustrative examples, we present Hamiltonians for the $(2,2m-1)$ minimal discrete and continuum dynamical triangulation (DT) models, the supersymmetric analogue of minimal continuum DT models, the Penner model, and 4D $\mathcal{N}=2$ $SU(2)$ gauge theories in the self-dual $Ω$-background. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_14059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Hamiltonian Formalism for Topological Recursion Fuji, Hiroyuki Manabe, Masahide Watabiki, Yoshiyuki Mathematical Physics High Energy Physics - Theory We propose a string field Hamiltonian formalism that associates a class of spectral curves and provides their quantization through the Chekhov-Eynard-Orantin topological recursion. As illustrative examples, we present Hamiltonians for the $(2,2m-1)$ minimal discrete and continuum dynamical triangulation (DT) models, the supersymmetric analogue of minimal continuum DT models, the Penner model, and 4D $\mathcal{N}=2$ $SU(2)$ gauge theories in the self-dual $Ω$-background. |
| title | A Hamiltonian Formalism for Topological Recursion |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.14059 |