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On spin 3 interacting with gravity

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

Recently Boulanger and Leclercq have constructed cubic four derivative $3-3-2$ vertex for interaction of spin 3 and spin 2 particles. This vertex is trivially invariant under the gauge transformations of spin 2 field, so it seemed that it could be expressed in terms of (linearized) Riemann tensor. And indeed in this paper we managed to reproduce this vertex in the form $R \partial \Phi \partial \Phi$, where $R$ -- linearized Riemann tensor and $\Phi$ -- completely symmetric third rank tensor. Then we consider deformation of this vertex to $(A)dS$ space and show that such deformation produce "standard" gravitational interaction for spin 3 particles (in linear approximation) in agreement with general construction of Fradkin and Vasiliev. Then we turn to the massive case and show that the same higher derivative terms allows one to extend gauge invariant description of massive spin 3 particle from constant curvature spaces to arbitrary gravitational backgrounds satisfying $R_{\mu\nu} = 0$.

years

2026 2

verdicts

UNVERDICTED 2

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  • Numerical polology: towards next-generation model-building for cosmology astro-ph.CO · 2026-06-29 · unverdicted · none · ref 46 · internal anchor

    Numerical polology framework samples coupling space to discover ghost-free tensor field theories up to rank three for cosmology, then applies resulting priors to black hole superradiance, dynamical dark energy, and GW data.

  • Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions hep-th · 2026-05-26 · unverdicted · none · ref 12 · internal anchor

    N=2 abelian higher-spin cubic (s1,s2,s2) vertices have analytic structure fully fixed by the supercurrents J++_{\alpha(s-1)\dot{\alpha}(s-1)}, J^+_{\alpha(s-1)\dot{\alpha}(s-2)} and \bar J^+_{\alpha(s-2)\dot{\alpha}(s-1)} for s1 \ge 2 s2.