Non-Compact Integrable Spin Chains and Feynman Integrals [FOR Virtual Seminar]

by Gwenael Ferrando (BCTP)

Wednesday 21 May 2025, 11:00 → 13:00 Europe/Berlin

The fishnet CFT and its generalisations are characterised by chiral interactions that severely restrict the set of allowed planar Feynman diagrams. Many observables admit a perturbative expansion with at most one diagram per order; consequently, integrability techniques developed to solve the theories can be used to compute individual Feynman integrals. I will begin with a brief overview of the CFTs and of these integrability techniques, which are associated with non-compact spin chains. I will then focus on the method of separation of variables, and explain how it applies to the computation of some classes of Feynman integrals. Though the technique has been developed in arbitrary dimension, the most impressive results were obtained for four-point integrals in dimensions 2 and 4. In the last part of the talk, I will present preliminary results for higher-point, one-dimensional integrals.