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arXiv · 2103.13271

Blobbed topological recursion of the quartic Kontsevich model II: Genus=0

Alexander Hock·Raimar Wulkenhaar
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Abstract

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 $\omega_{0,n}$ at a reflected point $\iota z$ in terms of all $\omega_{0,m}$ 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.

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Alexander Hock, Raimar Wulkenhaar. 2021-03-24. Blobbed topological recursion of the quartic Kontsevich model II: Genus=0. https://doi.org/10.4171/aihpd/198

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