Article ID Journal Published Year Pages File Type
1843225 Nuclear Physics B 2013 15 Pages PDF
Abstract
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 reformulation of the component results.
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Physical Sciences and Engineering Mathematics Mathematical Physics
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