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arXiv · 2307.16678

Holonomic representation of biadjoint scalar amplitudes

Leonardo de la Cruz
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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.

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Leonardo de la Cruz. 2023-07-31. Holonomic representation of biadjoint scalar amplitudes. https://arxiv.org/abs/2307.16678

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