The Yangian Bootstrap

by Dr Julian Miczajka (MPP)

Friday 19 Nov 2021, 11:00 → 12:00 Europe/Berlin

Main/0-174 - Auditorium (Main)

Yangian symmetry provides the algebraic underpinning for the
integrable features of the AdS/CFT correspondence. Interestingly it also
shows up as a symmetry of single Feynman integrals through their
interpretation as planar amplitudes in the fishnet theory. After
reviewing these structures and their implications in the massless case,
I go on to describe how the conformal Yangian can be generalized to
Feynman integrals involving massive propagators. I also explain how the
symmetry can be used to calculate certain classes of massive Feynman
integrals from scratch via an algorithm called the Yangian bootstrap. To
explain the appearance of the symmetry, I finally sketch how a subset of
the Yangian invariant diagrams can be naturally embedded into a massive
fishnet theory that emerges in a certain double-scaling limit from
Coulomb-branch N=4 SYM theory.