Scattering amplitude annihilators

Abstract

Several second order differential operators are shown to annihilate the YM and GR tree scattering amplitudes. In particular we prove a conjecture of Loebbert, Mojaza and Plefka from their investigation of a hidden conformal symmetry in GR.

arXiv comment31 pages; v2: edits in various sections to improve clarity; computer code included in an appendix; v3: acknowledgments added

References in corpus (3)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Analytic Representations of Yang-Mills Amplitudes
• Hidden Conformal Symmetry in Tree-Level Graviton Scattering

Cited by in corpus (6)

• Scattering amplitudes in YM and GR as minimal model brackets and their recursive characterization
• Hidden Conformal Invariance of Scalar Effective Field Theories
• Perturbative Quantum Field Theory and Homotopy Algebras
• FiniteFieldSolve: Exactly Solving Large Linear Systems in High-Energy Theory
• CHY Theory for Several Fields
• Out-of-time-order asymptotic observables are quasi-isomorphic to time-ordered amplitudes