Yangian Ward identities for fishnet four-point integrals

• DOI: 10.1007/jhep04(2022)131
• Publication Date: 2022-04-23T05:02:35Z
• Authors: Luke Corcoran; Florian Loebbert; Julian Miczajka
• Keywords: Yangian; Propagator

A bstract We derive and study Yangian Ward identities for the infinite class of four-point ladder integrals their Basso-Dixon generalisations. These symmetry equations follow from interpreting respective Feynman as correlation functions in biscalar fishnet theory. Alternatively, presented can be understood anomaly a momentum space conformal symmetry. The take form inhomogeneous extensions partial differential defining Appell hypergeometric functions. employ manifestly tensor reduction order to express these inhomogeneities compact form, which are given by linear combinations with shifted dimensions propagator powers. naturally generalise one-parameter family D -dimensional representing correlators generalised theory Kazakov Olivucci. When specified two spacetime dimensions, decouple. Using separation variables, we explicitly bootstrap solution 2D box integral. result is combination invariant products Legendre functions, reduce elliptic K an isotropic choice comment on differences transcendentality patterns four relations discontinuities.