Cubic interaction vertices in higher spin theories

preprint2014arXivOpen access

Abstract

Based purely on symmetry considerations, we derive the following result: in momentum space, the coefficient of the cubic interaction vertex for a spin λλ field is equal to the corresponding Yang-Mills (spin 1) coefficient, raised to the power λλ. This result is valid for all λλ for Lagrangians that contain a cubic interaction vertex of the form λλ-λλ-λλ, in four-dimensional flat spacetime. For λ=3λ=3, we present an additional derivation of this result.

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