In this paper we show that using frame-like gauge invariant formulation for the massive bosonic and fermionic fields in three dimensions the free Lagrangians for these fields can be rewritten in the explicitly gauge invariant form in terms of the appropriately chosen set of gauge invariant objects. This in turn opens the possibility to apply the Fradkin–Vasiliev formalism to the investigation of possible interactions of such fields.
Zinoviev, Y. M. (2016). Towards the Fradkin–Vasiliev formalism in three dimensions. Nuclear Physics B, 910, 550–567. https://doi.org/10.1016/j.nuclphysb.2016.07.019