Massless spin 2 interacting with massive higher spins in d = 3

Abstract

In this paper we consider massless spin 2 interacting with the massive arbitrary spin fermions in d = 3. First of all, we study all possible deformations for the massive fermion unfolded equations in presence of a massless spin-2 field. We find three linearly independent solutions one of which corresponds to the standard gravitational interactions. Then for all three cases we reconstruct appropriate Lagrangian formulation.