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

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arxiv 2311.17763 v2 pith:X6F6WYTY submitted 2023-11-29 hep-th

Md. Abhishek , Subramanya Hegde , Dileep P. Jatkar , Arnab Priya Saha , Amit Suthar This is my paper · ORCID
classification hep-th
keywords on-shellbranchcoulombfunctionsbcfwmathcalamplitudebigger
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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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  1. Two-loop four-point amplitudes on the Coulomb branch of ${\mathcal{N}}=4$ super Yang-Mills

    hep-th 2025-01 conditional novelty 8.0 of 10

    The subleading Regge-limit exponent of a Coulomb branch four-point amplitude in N=4 SYM matches the anomalous dimension of a cusped Wilson loop with a scalar insertion, known from integrability.

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