Holonomic representation of biadjoint scalar amplitudes

Abstract

Abstract We study tree-level biadjoint scalar amplitudes in the language of D-modules. We construct left ideals in the Weyl algebra D that allow a holonomic representation of n-point amplitudes in terms of the linear partial differential equations they satisfy. The resulting representation encodes the simple pole and recursive properties of the amplitude.

Keywords

• Differential and Algebraic Geometry
• Scattering Amplitudes