מפגש קבוצת התיאוריה של אנרגיות גבוהות: Integrability for Feynman Integrals
Florian Loebbert, Humboldt University
I give an overview of the Yangian symmetry of Feynman integrals. First I review the connection between AdS/CFT integrability and the Yangian symmetry of massless Feynman graphs. Exploiting the Yangian constraints, I discuss the idea to bootstrap Feynman integrals on various examples. Then I show that also in the massive case large classes of Feynman integrals are constrained by a Yangian extension of dual conformal symmetry. When translated to momentum space, this leads to a novel massive generalization of ordinary conformal symmetry. As an application I demonstrate how the massive Yangian leads to a new representation of all-mass n-gon integrals in terms of single hypergeometric functions. Finally, I argue that these features of massive Feynman integrals can be understood as the integrability of planar scattering amplitudes in a massive version of the fishnet theory, which is obtained as a double-scaling limit of N=4 super Yang-Mills theory on the Coulomb branch.
Seminar Organizer: Andrea Guerrieri