Integrability in Gauge and String Theory 2022

Yangian symmetry, fishnet integrals and geometry

25 Jul 2022, 10:15

45m

Conference room -1.75 (Budapest)

Talk

Speaker

Florian Loebbert (Bethe Center Bonn)

Description

Via the fishnet-limit of AdS/CFT, individual Feynman integrals inherit a conformal Yangian symmetry. Surprisingly, this extends to certain classes of integrals with massive propagators, which suggests that integrability extends beyond the massless regime of planar $\mathcal{N}=4$ super Yang-Mills theory. We demonstrate how to use the Yangian symmetry for bootstrapping Feynman integrals from scratch. In particular, we consider the example of fishnet integrals in two spacetime dimensions where this leads to a curious interplay between algebra and geometry.

Presentation materials

Loebbert.pdf