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Raimar Wulkenhaar——The complete solution of the quartic analogue of the Kontsevich model
发布人:许全华  发布时间:2020-07-23   浏览次数:10

题目:The complete solution of the quartic analogue of the Kontsevich model


报告人:Raimar Wulkenhaar (University of Münster)


时间:8月5日,16:00-17:00


地点:Zoom 会议,会议ID:985 2457 7579,密码:041065


摘要: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.