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The present work introduces a master action that interpolates between fourself-dual models, $SD(i)$, for describing massive spin-4 particles in $D=2+1$dimensions. These models are designated by $i=1,2,3$ and $4$, representing theorder in derivatives. Our results show that the four descriptions are quantumequivalent through comparison of their correlation functions, up to contactterms. A geometrical approach is demonstrated to be a useful tool in describingthe third and fourth order models. The construction of the master action relieson the introduction of mixing terms, which must be free of particle content. Weuse the helicity decomposition method to verify the absence of particle contentin these terms, ensuring the proper functioning of the master action.

Master Actions and Helicity Decomposition for Spin-4 Models in $3D$