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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 $\lambda$ field is equal to the corresponding Yang-Mills (spin 1) coefficient, raised to the power $\lambda$. This result is valid for all $\lambda$ for Lagrangians that contain a cubic interaction vertex of the form $\lambda$-$\lambda$-$\lambda$, in four-dimensional flat spacetime. For $\lambda=3$, we present an additional derivation of this result.

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Y. S. Akshay, Sudarshan Ananth. 2013-04-30. Cubic interaction vertices in higher spin theories. https://doi.org/10.1088/1751-8113/47/4/045401

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