N=1N=1 supersymmetric Proca–Stueckelberg mechanism for extra vector multiplet

We present a variant formulation of N=1N=1 supersymmetric Proca–Stueckelberg mechanism for an arbitrary non-Abelian group in four dimensions. This formulation resembles our previous variant supersymmetric compensator mechanism in 4D. Our field content consists of the three multiplets: (i) a non-Abelian Yang–Mills multiplet (AμI,λI), (ii) a tensor multiplet (BμνI,χI,φI) and (iii) an extra vector multiplet (KμI,ρI,CμνρI) with the index I   for the adjoint representation of a non-Abelian gauge group. The CμνρI is originally an auxiliary field dual to the conventional auxiliary field DIDI for the extra vector multiplet. The vector KμI and the tensor CμνρI get massive, after absorbing respectively the scalar φIφI and the tensor BμνI. The superpartner fermion ρIρI acquires a Dirac mass shared with χIχI. We fix non-trivial quartic interactions in the total lagrangian, with corresponding cubic interaction terms in field equations.