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math-ph2021
Genus one free energy contribution to the quartic Kontsevich model
Johannes Branahl, Alexander Hock
We prove a formula for the genus one free energy of the quartic Kontsevich model for arbitrary ramification by working out a boundary creation operator for blob…
hep-th2021★ 14 cited
From scalar fields on quantum spaces to blobbed topological recursion
Johannes Branahl, Harald Grosse, Alexander Hock +1
We review the construction of the -model on noncommutative geometries via exact solutions of Dyson-Schwinger equations and explain how this construction relates via (blobbed)…
math-ph2021★ 2 cited
Blobbed topological recursion of the quartic Kontsevich model II: Genus=0
Alexander Hock, Raimar Wulkenhaar
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…