Blobbed topological recursion of the quartic Kontsevich model II: (with an appendix by Maciej Dołęga)
Alexander Hock
University of Oxford, Oxford, UKRaimar Wulkenhaar
University of Münster, Münster, Germany
![Blobbed topological recursion of the quartic Kontsevich model II: $\mathrm{Genus}=0$ (with an appendix by Maciej Dołęga) cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-aihpd.png&w=3840&q=90)
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 at a reflected point in terms of all with at the original point . We prove that the solution of the involution identity obeys blobbed topological recursion, which confirms a previous conjecture about the quartic Kontsevich model.
Cite this article
Alexander Hock, Raimar Wulkenhaar, Blobbed topological recursion of the quartic Kontsevich model II: (with an appendix by Maciej Dołęga). Ann. Inst. Henri Poincaré Comb. Phys. Interact. (2024), published online first
DOI 10.4171/AIHPD/198