Symmetry and Action for Flavor-Kinematics Duality

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 also serve as 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 byproduct of the Weinberg soft theorem.

5 pages+refs; matched to published version

References in corpus (4)

• New Relations for Gauge-Theory Amplitudes
• The Kinematic Algebra From the Self-Dual Sector
• Effective Field Theories from Soft Limits
• A Periodic Table of Effective Field Theories

Cited by in corpus (79)

• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Classical gluon and graviton radiation from the bi-adjoint scalar double copy
• Gravitational Radiation from Color-Kinematics Duality
• Unifying Relations for Scattering Amplitudes
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy
• On duality of color and kinematics in (A)dS momentum space
• Semi-abelian Z-theory: NLSM+phi^3 from the open string
• BCJ numerators from reduced Pfaffian
• Heterotic and bosonic string amplitudes via field theory
• Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
• Vector Effective Field Theories from Soft Limits
• A new gauge-invariant double copy for heavy-mass effective theory
• Double Copy from Homotopy Algebras
• Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
• BRST-Lagrangian Double Copy of Yang-Mills Theory
• Covariant Color-Kinematics Duality
• On the kinematic algebra for BCJ numerators beyond the MHV sector
• Perturbiner Methods for Effective Field Theories and the Double Copy
• Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory
• A double copy for asymptotic symmetries in the self-dual sector
• Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes
• Pions as Gluons in Higher Dimensions
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• The double copy for heavy particles
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Hidden Simplicity of the Gravity Action
• Classical Double Copy of Worldline Quantum Field Theory
• Unraveling conformal gravity amplitudes
• Tree-level amplitudes from the pure spinor superstring
• Constraints on a Massive Double-Copy and Applications to Massive Gravity
• New heavenly double copies
• Massive Gravity from Double Copy
• Kinematic Lie Algebras From Twistor Spaces
• Soft Bootstrap and Effective Field Theories
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• Conformal Gravity from Gauge Theory
• Ward Identity and Scattering Amplitudes for Nonlinear Sigma Models
• Amplitudes, Hopf algebras and the colour-kinematics duality
• On the Lagrangian formulation of the double copy to cubic order
• The Infrared Structure of Nambu-Goldstone Bosons
• Towards Color-Kinematics Duality in Generic Spacetimes
• Gauge $\times$ Gauge on Spheres
• Non-perturbative aspects of the self-dual double copy
• Geodesics From Classical Double Copy
• Radiation of scalar modes and the classical double copy
• Shift symmetries, soft limits, and the double copy beyond leading order
• Gauge independent kinematic algebra of self-dual Yang-Mills theory
• Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons
• New Flavor-Kinematics Dualities and Extensions of Nonlinear Sigma Models
• Non-perturbative Double Copy in Flatland
• Kinematic Hopf algebra for amplitudes and form factors
• Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators
• One-loop Amplitudes for N=2 Homogeneous Supergravities
• Kinematic numerators from the worldsheet: cubic trees from labelled trees
• Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
• Double copy for Lagrangians at trilinear order
• The Color-Dual Fates of $F^3$, $R^3$, and $\mathcal{N}=4$ Supergravity
• Double-copy towards supergravity inflation with $\alpha$-attractor models
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• The Infrared Structure of Exceptional Scalar Theories
• Effective observables for electromagnetic duality from novel amplitude decomposition
• Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles
• Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equations
• Matter Couplings and Equivalence Principles for Soft Scalars
• Hidden Conformal Invariance of Scalar Effective Field Theories
• Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
• Entanglement and the Double Copy
• New Factorization Relations for Non-Linear Sigma Model Amplitudes
• Covariant color-kinematics duality, Hopf algebras and permutohedra
• FiniteFieldSolve: Exactly Solving Large Linear Systems in High-Energy Theory
• Scattering Equations and Factorization of Amplitudes II: Effective Field Theories
• The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
• Next-to-MHV Yang-Mills kinematic algebra
• Non-Abelian gauged supergravities as double copies
• Algebraic Consistency and Explicit Construction of One-Loop BCJ Numerators of Yang-Mills and Related Theories