Symmetry for Flavor-Kinematics Duality from an Action

Clifford Cheung and Chia-Hsien Shen
Phys. Rev. Lett. 118, 121601 – Published 23 March 2017

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.

  • Received 11 January 2017

DOI:https://doi.org/10.1103/PhysRevLett.118.121601

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Clifford Cheung* and Chia-Hsien Shen

  • Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA

  • *clifford.cheung@caltech.edu
  • chshen@caltech.edu

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Issue

Vol. 118, Iss. 12 — 24 March 2017

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