Separation of Variables for the Computation of Fishnet Integrals

by Gwenael Ferrando

Thursday 7 Dec 2023, 13:30 → 14:30 Europe/Copenhagen

Aud A

Fishnet integrals arise naturally in the perturbative expansion of the fishnet CFTs, where they correspond to exact correlators in the planar limit. Integrability of the theories can be seen from the integrals themselves, and this provides us with new methods for their computations. We will first present the construction of a basis of eigenvectors for the graph-building operators that generate the integrals, in arbitrary dimension. We will then explain how to apply it to the computation of the so-called Basso--Dixon integrals. Finally, we will show that the formalism can be extended to deal with more general integrals, which are associated with the recently introduced checkerboard CFT.