Basso-Dixon Correlators in Two-Dimensional Fishnet CFT

Understand

We compute explicitly the two-dimensional version of Basso-Dixon type integrals for the planar four-point correlation functions given by conformal fishnet Feynman graphs.

• These diagrams are represented by a fragment of a regular square lattice of power-like propagators, arising in the recently proposed integrable bi-scalar fishnet CFT.
• The formula is derived from first principles, using the formalism of separated variables in integrable SL(2,C) spin chain.
• It is generalized to anisotropic fishnet, with different powers for propagators in two directions of the lattice.