Note on the non-adjacent BCFW deformations

Abstract

As the first part, we provide a proof of the consistency condition by Kleiss-Kuijf relation and the bonus relation by BCJ relation for the non-adjacent BCFW deformations. On the other hand, rather than appealing to field theory argument, we provide an alternative proof of bonus relation for the non-adjacent BCFW deformations by a purely S matrix analysis in the context of $\mathcal{N}=4$ SYM theory.

more readable version with typo corrected and references added

References in corpus (7)

• What is the Simplest Quantum Field Theory?
• Gravity as the Square of Gauge Theory
• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• Consistency Conditions on the S-Matrix of Massless Particles
• Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes
• U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM
• Monodromy and Kawai-Lewellen-Tye Relations for Gravity Amplitudes

Cited by in corpus (1)

• Relations of loop partial amplitudes in gauge theory by Unitarity cut method