PIRSA:18120021

Video URL

https://pirsa.org/18120021

A Bestiary of Feynman Integral Calabi-Yaus

von Hippel, M. (2018). A Bestiary of Feynman Integral Calabi-Yaus. Perimeter Institute for Theoretical Physics. https://pirsa.org/18120021

von Hippel, Matt. A Bestiary of Feynman Integral Calabi-Yaus. Perimeter Institute for Theoretical Physics, Dec. 11, 2018, https://pirsa.org/18120021 

          @misc{ scivideos_PIRSA:18120021,
            doi = {10.48660/18120021},
            url = {https://pirsa.org/18120021},
            author = {von Hippel, Matt},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {A Bestiary of Feynman Integral Calabi-Yaus},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2018},
            month = {dec},
            note = {PIRSA:18120021 see, \url{https://scivideos.org/index.php/pirsa/18120021}}
          }

Matt von Hippel University of Copenhagen

Talk numberPIRSA:18120021
DOI10.48660/18120021
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.