Symmetry for Flavor-Kinematics Duality from an Action
Journal
Physical Review Letters
Journal Volume
118
Journal Issue
12
Start Page
121601
ISSN
0031-9007
1079-7114
Date Issued
2017-03-23
Author(s)
Clifford Cheung
Abstract
We propose a new representation of the nonlinear sigma model that exhibits a manifest duality between flavor and kinematics. The fields couple exclusively through cubic Feynman vertices which define the structure constants of an underlying kinematic algebra. The action is invariant under a combination of internal and spacetime symmetries whose conservation equations imply flavor-kinematics duality, ensuring that all Feynman diagrams satisfy kinematic Jacobi identities. Substituting flavor for kinematics, we derive a new cubic action for the special Galileon theory. In this picture, the vanishing soft behavior of amplitudes is a by-product of the Weinberg soft theorem.
SDGs
Publisher
American Physical Society (APS)
Type
journal article