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Variant N= 1 Supersymmetric Non-Abelian Proca-Stueckelberg Formalism in Four Dimensions

We present a new (variant) formulation of N=1 supersymmetric compensator mechanism for an arbitrary non-Abelian group in four dimensions. We call this `variant supersymmetric non-Abelian Proca-Stueckelberg formalism'. Our field content is economical, consisting only of the two multiplets: (i) A Non-Abelian vector multiplet (A_μ^I, λ^I, C_{μνρ}{}^I) and (ii) A compensator tensor multiplet (B_{μν}{}^I, χ^I, φ^I). The index I is for the adjoint representation of a non-Abelian gauge group. The C_{μνρ}{}^I is originally an auxiliary field Hodge-dual to the conventional auxiliary field D^I. The φ^I and B_{μν}{}^I are compensator fields absorbed respectively into the longitudinal components of A_μ^I and C_{μνρ}{}^I which become massive. After the absorption, C_{μνρ}{}^I becomes no longer auxiliary, but starts propagating as a massive scalar field. We fix all non-trivial cubic interactions in the total lagrangian, and quadratic interactions in all field equations. The superpartner fermion χ^I acquires a Dirac mass shared with the gaugino λ^I. As an independent confirmation, we give the superspace re-formulation of the component results.