We introduce a class of polytopes that concisely capture the structure of UV and IR
divergences of general Feynman integrals in Schwinger parameter space, treating them in a …

A bstract The amplituhedron determines scattering amplitudes in planar\(\mathcal {N}\)= 4
super Yang-Mills by a single “positive geometry” in the space of kinematic and loop …

A bstract We consider four-point correlation functions of protected single-trace scalar
operators in planar\(\mathcal {N}\)= 4 supersymmetric Yang-Mills (SYM). We conjecture that …

A bstract We propose a broad class of d-dimensional conformal field theories of SU (N)
adjoint scalar fields generalising the 4d Fishnet CFT (FCFT) discovered by Ö. Gürdogan and …

A bstract Feynman periods are Feynman integrals that do not depend on external
kinematics. Their computation, which is necessary for many applications of quantum field …

We study fishnet Feynman diagrams defined by a certain triangulation of a planar n-gon,
with massless scalars propagating along and across the cuts. Our solution theory uses the …

A bstract We derive and study Yangian Ward identities for the infinite class of four-point
ladder integrals and their Basso-Dixon generalisations. These symmetry equations follow …

Graphical functions are special position space Feynman integrals, which can be used to
calculate Feynman periods and one-or two-scale processes at high loop orders. With …

A bstract We present a basis of eigenvectors for the graph building operators acting along
the mirror channel of planar fishnet Feynman integrals in d-dimensions. The eigenvectors of …

A bstract We analyse the family of Calabi-Yau varieties attached to four-point fishnet
integrals in two dimensions. We find that the Picard-Fuchs operators for fishnet integrals are …