Symmetry for Flavor-Kinematics Duality from an Action

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 combinati...

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Bibliographic Details
Published in:Physical review letters 2017-03, Vol.118 (12), p.121601-121601, Article 121601
Main Authors: Cheung, Clifford, Shen, Chia-Hsien
Format: Article
Language:English
Subjects:
Byproducts
Constants
Feynman diagrams
Flavours
Invariants
Kinematics
Representations
Symmetry
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.118.121601