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arXiv · 2508.06166

On massive higher spins and gravity. II. Spin 3

Yu. M. Zinoviev
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Abstract

In this paper, we continue our investigation of gravitational interactions for massive higher spins, extending our recent work on massive spin 5/2 to massive spin 3, including its massless and partially massless limits. To construct the minimal gravitational interactions (i.e. vertexes containing both standard minimal interactions and non-minimal ones, which are necessary for any $s \ge 5/2$), we use a gauge invariant frame-like formalism. Similarly to the spin 5/2 case, there is a special point $m^2 = 6\Lambda$, which corresponds to a boundary of the unitary allowed region in $dS_4$, where minimal interactions disappear, leaving only the non-minimal ones.

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Yu. M. Zinoviev. 2025-08-08. On massive higher spins and gravity. II. Spin 3. https://doi.org/10.1007/jhep10(2025)231

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