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New local gauge-invariant models of interacting fields with spins 3, 1 and 0are found. The construction of the models is completely based on the newapproach to the deformation problem proposed in our papers (Buchbinder andLavrov in JHEP 06: 097, 2021; Buchbinder and Lavrov in Eur. Phys. J. C 81:856,2021; Lavrov in Eur. Phys. J. C 82:429, 2022). The approach allows to describethe deformation procedure for theories with gauge freedom in an explicit andclosed form in terms of special anticanonical transformations of theBatalin-Vilkovisky formalism. The action of the models appears as a local partof the deformed action which is represented by a functional of the fourth orderin fields. This functional is invariant under original gauge transformations.

Gauge-invariant models of interacting fields with spins 3,1 and 0