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

Abstract

The Maxwell-covariant particle model is formulated in tensorial extended D = 4 space-time (xμ, zμν) parametrized by ten-dimensional coset of D = 4 Maxwell group, with added auxiliary Weyl spinors λα, yα. 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 ẽ = 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. © 2013 SISSA.