Abstract
Three scalar effective field theories have special properties in terms of non-linear symmetries, soft limits and on-shell constructability that arise from their Goldstone nature: the non-linear σ-model, multi-DBI theory and the special Galileon. We discuss how these theories are related via flavour-kinematics duality, analogous to the colour-kinematics duality between gravity and gauge theories. At the off-shell level, we identify a specific mapping between the three theories that is crucially dependent on their non-linear symmetries. Similarly, we demonstrate how the on-shell amplitudes factorise into BCJ numerators describing flavour and a scalar version of kinematics, naturally leading to the inclusion of graviton exchange in the SO(M, N) non-linear σ-model. Finally, we map those numerators onto each other, and comment on a similar relation to tensor kinematics. Our results highlight a common structure that underlies the physics of different Goldstone modes.
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de Neeling, D., Roest, D. & Veldmeijer, S. Flavour-kinematics duality for Goldstone modes. J. High Energ. Phys. 2022, 66 (2022). https://doi.org/10.1007/JHEP10(2022)066
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DOI: https://doi.org/10.1007/JHEP10(2022)066