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Cubic Interactions of Bosonic Higher Spin Gauge Fields in $AdS_5$

M. A. Vasiliev
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Abstract

The dynamics of totally symmetric free massless higher spin fields in $AdS_d$ is reformulated in terms of the compensator formalism for AdS gravity. The $AdS_5$ higher spin algebra is identified with the star product algebra with the $su(2,2)$ vector (i.e., $o(4,2)$ spinor) generating elements. Cubic interactions of the totally symmetric bosonic higher spin gauge fields in $AdS_5$, including the interaction with gravity, are formulated at the action level.

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M. A. Vasiliev. 2004-04-13. Cubic Interactions of Bosonic Higher Spin Gauge Fields in $AdS_5$. https://doi.org/10.1016/s0550-3213(01)00433-3

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