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Published March 24, 2017 | Published + Submitted
Journal Article Open

Symmetry for Flavor-Kinematics Duality from an Action

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.

Additional Information

© 2017 American Physical Society. (Received 11 January 2017; published 23 March 2017) C. C. and C.-H. S. are supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255.

Attached Files

Published - PhysRevLett.118.121601.pdf

Submitted - 1612.00868v1.pdf

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Created:
August 19, 2023
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February 10, 2024