Title: The complete solution of the quartic analogue of the Kontsevich model
Speaker: Raimar Wulkenhaar (University of Münster)
Time: 16:00-17:00, August5
Location: Zoom, Zoom Meeting ID: 985 2457 7579, Password: 041065
Abstract: We consider an analogue of Kontsevich's matrix Airy function where the cubic potential $Tr(\Phi^3)$ is replaced by a quartic term $Tr(\Phi^4)$. We show that, for finite matrices, all cumulants are exactly solvable in terms of rational functions, their branch points and their inverses. For the planar sector we also control the limit to infinite matrices where generating functions of hyperlogarithms are produced. This is joint work with Harald Grosse, Erik Panzer, Alexander Hock, Joerg Schuermann and Johannes Branahl.
