On gauge-invariant deformation of reducible gauge theories

Abstract New method for construction of gauge-invariant deformed theory from an initial gauge proposed in our previous papers (Buchbinder and Lavrov JHEP 06:854, 2021; Buchbinder Eur Phys J C 81:856, 2021) closed/open algebras is extended to the case reducible algebras. The deformation procedure explicitly described with help generating functions anticanonical transformations depending on fields action only. generators are a closed simple form. As example systems we consider free fermionic p-form or, another words, antisymmetric tensor-spinor fields. It proved that leads always non-local which does not contain local sector. In its turn model based two 2-form real massive scalar field admits interactions between these sector action.