Abstract
We present a variant formulation of N=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 DI for the extra vector multiplet. The vector KμI and the tensor CμνρI get massive, after absorbing respectively the scalar φI and the tensor BμνI. The superpartner fermion ρI acquires a Dirac mass shared with χI. We fix non-trivial quartic interactions in the total lagrangian, with corresponding cubic interaction terms in field equations.
Highlights
There have been considerable developments [1][2] for the supersymmetrization of the Proca-Stueckelberg compensator mechanism [3]
The φI and BμνI in the tensor multiplet (TM) are compensator fields, respectively absorbed into KμI and CμνρI -fields in the extra vector multiplet (EVM)
Our new system differs from our recent work [2] in terms of the three aspects: (i) Our present system has three multiplets vector multiplet (VM), TM and EVM, while that in [2] has only
Summary
There have been considerable developments [1][2] for the supersymmetrization of the Proca-Stueckelberg compensator mechanism [3]. In our recent paper [2], we presented a variant supersymmetric compensator mechanism, both in component and superspace [9], with a field content different from [4]. Is absorbed into the longitudinal component of AμI (or CμνρI), making the latter massive [2] In this present paper, we demonstrate yet another field content as a supersymmetric compensator system in which an extra vector in the adjoint representation absorbs a scalar. The φI and BμνI in the TM are compensator fields, respectively absorbed into KμI and CμνρI -fields in the EVM. Our new system differs from our recent work [2] in terms of the three aspects: (i) Our present system has three multiplets VM, TM and EVM, while that in [2] has only. Our VM is on-shell, while our TM and EVM are off-shell
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