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

الأصل · EN

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 (Aμⁱ, λⁱ, Cμνᵨⁱ) and (ii) A compensator tensor multiplet (Bμνⁱ, χⁱ, φⁱ). The index I is for the adjoint representation of a non-Abelian gauge group. The Cμνᵨⁱ is originally an auxiliary field Hodge-dual to the conventional auxiliary field Dⁱ. The φⁱ and Bμνⁱ are compensator fields absorbed respectively into the longitudinal components of Aμⁱ and Cμνᵨⁱ which become massive. After the absorption, Cμνᵨⁱ 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 χⁱ acquires a Dirac mass shared with the gaugino λⁱ. As an independent confirmation, we give the superspace re-formulation of the component results.