N=1 Supersymmetric Non-Abelian Compensator Mechanism for Extra Vector Multiplet

Abstract

We present a variant formulation of N=1 supersymmetric compensator 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 (A_μ^I, λ^I, C_{μνρ}^I), (ii) a tensor multiplet (B_{μν}^I, χ^I, φ^I) and an extra vector multiplet (K_μ^I, ρ^I, C_{μνρ}^I) with the index I for the adjoint representation of a non-Abelian gauge group. The C_{μνρ}^I is originally an auxiliary field dual to the conventional auxiliary field D^I for the extra vector multiplet. The vector K_μ^I and the tensor C_{μνρ}^I get massive, after absorbing respectively the scalar φ^I and the tensor B_{μν}^I. The superpartner fermion ρ^I acquires a Dirac mass shared with χ^I. We fix all non-trivial cubic interactions in the total lagrangian, all quadratic terms in supersymmetry transformations, and all quadratic interactions in field equations. The action invariance and the super-covariance of all field equations are confirmed up to the corresponding orders.

11 pages, no figures

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• Revisiting the Abelian $N=1$ super Stueckelberg model