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

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

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

High Energy Physics - Theory 2024-05-01 v2

Authors: Md. Abhishek , Subramanya Hegde , Dileep P. Jatkar , Arnab Priya Saha , Amit Suthar

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.

Keywords

on-shell functions coulomb branch N=4 SYM BCFW bridges on-shell diagrams BCFW shifts loop amplitudes

Cite

@article{arxiv.2311.17763,
  title  = {On-shell functions on the Coulomb branch of $\mathcal{N}=4$ SYM},
  author = {Md. Abhishek and Subramanya Hegde and Dileep P. Jatkar and Arnab Priya Saha and Amit Suthar},
  journal= {arXiv preprint arXiv:2311.17763},
  year   = {2024}
}

Comments

59 pages, 10 figures, Minor changes: improved presentation, Version to appear in JHEP

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

Abstract

Keywords

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