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arXiv · 1304.8082

Cubic interaction vertices in higher spin theories

Y. S. Akshay·Sudarshan Ananth
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Abstract

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

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Y. S. Akshay, Sudarshan Ananth. 2014-04-17. Cubic interaction vertices in higher spin theories. https://doi.org/10.1088/1751-8113%2F47%2F4%2F045401

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