Blobbed topological recursion of the quartic Kontsevich model II: Genus=0
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866909567513788416 |
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| author | Hock, Alexander Wulkenhaar, Raimar |
| author_facet | Hock, Alexander Wulkenhaar, Raimar |
| contents | We prove that the genus-0 sector of the quartic analogue of the Kontsevich model is completely governed by an involution identity which expresses the meromorphic differential $ω_{0,n}$ at a reflected point $ιz$ in terms of all $ω_{0,m}$ with $m\leq n$ at the original point $z$. We prove that the solution of the involution identity obeys blobbed topological recursion, which confirms a previous conjecture about the quartic Kontsevich model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2103_13271 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Blobbed topological recursion of the quartic Kontsevich model II: Genus=0 Hock, Alexander Wulkenhaar, Raimar Mathematical Physics Algebraic Geometry Combinatorics 05A18, 14H70, 30D05, 32A20 We prove that the genus-0 sector of the quartic analogue of the Kontsevich model is completely governed by an involution identity which expresses the meromorphic differential $ω_{0,n}$ at a reflected point $ιz$ in terms of all $ω_{0,m}$ with $m\leq n$ at the original point $z$. We prove that the solution of the involution identity obeys blobbed topological recursion, which confirms a previous conjecture about the quartic Kontsevich model. |
| title | Blobbed topological recursion of the quartic Kontsevich model II: Genus=0 |
| topic | Mathematical Physics Algebraic Geometry Combinatorics 05A18, 14H70, 30D05, 32A20 |
| url | https://arxiv.org/abs/2103.13271 |