Video URL
https://pirsa.org/18120021A Bestiary of Feynman Integral Calabi-Yaus
Matt von Hippel University of Copenhagen
Source RepositoryPIRSA
Collection
Talk Type
Scientific Series
Subject
Abstract
While the simplest Feynman diagrams evaluate to multiple polylogarithms, more complicated functions can arise, involving integrals over higher-dimensional manifolds. Surprisingly, all examples of such manifolds in the literature to date are Calabi-Yau. I discuss why this is, and prove that a specific class of "marginal" diagrams give rise to Calabi-Yau manifolds. I demonstrate a bound on the dimensionality of these manifolds with loop order, and present infinite families of diagrams that saturate this bound to all orders.