New spinorial particle model in tensorial space-time and interacting higher spin fields

Abstract

Abstract The Maxwell-covariant particle model is formulated in tensorial extended D = 4 space-time (x μ , z μν ) parametrized by ten-dimensional coset of D = 4 Maxwell group, with added auxiliary Weyl spinors λ α , y α . We provide the Hamiltonian quantization of the model and demonstrate that first class constraints modify the known equations obtained for massless higher spin fields in flat tensorial space-time. We obtain the Maxwell-covariant field equations for new infinite dimensional spin multiplets. The component fields assigned to different spin values are linked by couplings proportional to rescaled electromagnetic coupling constant $ \widetilde{e}=e\,m $ , where m is the mass-like parameter introduced in our model. We discuss briefly the geometry of our tensorial space-time with constant torsion and its relation with the presence of constant electromagnetic background.