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arXiv · 2311.17763

On-shell functions on the Coulomb branch of $\mathcal{N}=4$ SYM

Md. Abhishek·Subramanya Hegde·Dileep P. Jatkar·Arnab Priya Saha·Amit Suthar
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Abstract

We study on-shell functions in the kinematic space for the Coulomb branch of $\mathcal{N}=4$ SYM. We construct BCFW bridges that help us build bigger on-shell functions. As a consequence, we provide on-shell diagram formulations for BCFW shifts that correspond to various mass configurations. We will use this to calculate the quadruple cut for the one-loop amplitude on the Coulomb branch and maximal cuts for higher-loops. We make preliminary comments on finding the inequivalent set of on-shell functions for the Coulomb branch.

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Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha, Amit Suthar. 2024-04-30. On-shell functions on the Coulomb branch of $\mathcal{N}=4$ SYM. https://arxiv.org/abs/2311.17763

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