TH String Theory Seminar

Christoph Nega - Calabi-Yau Manifolds and Feynman Integrals — The Family of Banana Graphs

Europe/Zurich
Zoom Only (CERN)

Zoom Only

CERN

Description

Abstract:

In this talk I will explain the relation between Calabi-Yau manifolds and their mathematics and Feynman integral computations. We will see how concepts from Calabi-Yau geometries and especially Calabi-Yau motives can be used to compute multi-loop Feynman integrals. This will be exemplified with the so called banana graphs. First, I will give a short introduction to Feynman integrals and Calabi-Yau manifolds. Then we will see how the mathematics of Calabi-Yau manifolds (variations of Hodge structures, Griffiths transversality, 
Γ-class, ...) constrain or even determine the corresponding Feynman integrals, here the banana graphs. Then I will also shortly explain how the banana integrals can be solved in dimensional regularization in the equal- as well as in the generic-mass case. Finally, I will make some remarks what we can in general learn from Calabi-Yau spaces in the context of Feynman integrals. 
Videoconference
String Seminars
Zoom Meeting ID
61053603623
Host
Elena Gianolio
Alternative hosts
Shota Komatsu, Alexander Zhiboedov, Alexandre Belin, Kyriakos Papadodimas, Shouvik Datta
Useful links
Join via phone
Zoom URL