Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$

Abstract

The dynamics of totally symmetric free massless higher spin fields in $Ad{S}_d$ is reformulated in terms of the compensator formalism for AdS gravity. The $Ad{S}_5$ 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 $Ad{S}_5$, including the interaction with gravity, are formulated at the action level.

Latex, 67 pages; no figures, reference added, typos corrected; v3. Typo in Eq. (4.6) corrected; v4. More typos in coefficients corrected

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