Unifying Relations for Scattering Amplitudes
Abstract
We derive new amplitudes relations revealing a hidden unity among wide-ranging theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering amplitudes into new ones. By transmuting the amplitudes of gravity coupled to a dilaton and two-form, we generate all the amplitudes of Einstein-Yang-Mills theory, Dirac-Born-Infield theory, special Galileon, nonlinear sigma model, and biadjoint scalar theory. Transmutation also relates amplitudes in string theory and its variants. As a corollary, celebrated aspects of gluon and graviton scattering like color-kinematics duality, the KLT relations, and the CHY construction are inherited traits of the transmuted amplitudes. Transmutation recasts the Adler zero as a trivial consequence of the Weinberg soft theorem and implies new subleading soft theorems for certain scalar theories.
Cite
@article{arxiv.1705.03025,
title = {Unifying Relations for Scattering Amplitudes},
author = {Clifford Cheung and Chia-Hsien Shen and Congkao Wen},
journal= {arXiv preprint arXiv:1705.03025},
year = {2018}
}
Comments
26 pages+refs, 1 figure for the unified web of theories, v2 matched JHEP version