Yangian-Invariant Fishnet Integrals in Two Dimensions as Volumes of Calabi-Yau Varieties

We argue that ℓ-loop Yangian-invariant fishnet integrals in two dimensions are connected to a family of Calabi-Yau ℓ folds. The value of the integral can be computed from the periods of the Calabi-Yau, while the Yangian generators provide its Picard-Fuchs differential ideal. Using mirror symmetry, w... View More