activity
20192022
most citedBlobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures

25 citations · 72 across the 7 of their papers we have counts for

collaborators

7 papers

math-ph2022★ 6 cited

Complete solution of the LSZ Model via Topological Recursion

Johannes Branahl, Alexander Hock

We prove that the Langmann-Szabo-Zarembo (LSZ) model with quartic potential, a toy model for a quantum field theory on noncommutative spaces grasped as a complex matrix model, obey…

math-ph2022★ 1 cited

An irregular spectral curve for the generation of bipartite maps in topological recursion

Johannes Branahl, Alexander Hock

We derive an efficient way to obtain generating functions of bipartite maps of arbitrary genus and boundary length using a spectral curve as initial data for the framework of topol…

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-ph2020★ 11 cited

Perturbative and Geometric Analysis of the Quartic Kontsevich Model

Johannes Branahl, Alexander Hock, Raimar Wulkenhaar

The analogue of Kontsevich's matrix Airy function, with the cubic potential replaced by a quartic term with the sa…

math-ph2020★ 25 cited

Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures

Johannes Branahl, Alexander Hock, Raimar Wulkenhaar

We provide strong evidence for the conjecture that the analogue of Kontsevich's matrix Airy function, with the cubic potential replaced by a quartic term $\mathr…

hep-ph2019★ 15 cited

SUSY-QCD corrected and Sommerfeld enhanced stau annihilation into heavy quarks with scheme and scale uncertainties

J. Branahl, J. Harz, B. Herrmann +3

We investigate stau-antistau annihilation into heavy quarks in the phenomenological Minimal Supersymmetric Standard Model within the DM@NLO project. We present the calculation of t…