Massless Poincare modules and gauge invariant equations

Understand

Starting with an indecomposable Poincare module M_0 induced from a given irreducible Lorentz module we construct a free Poincare invariant gauge theory defined on the Minkowski space.

• The space of its gauge inequivalent solutions coincides with (in general, is closely related to) the starting point module M_0.
• We show that for a class of indecomposable Poincare modules the resulting theory is a Lagrangian gauge theory of the mixed-symmetry higher spin fields.
• The procedure is based on constructing the parent formulation of the theory.