Off-Shell Extended Supersymmetries and Lorentz-Violating Abelian Gauge Models

Ney, Wander G.; Helayel-Neto, J. A.; Spalenza, Wesley

Off-Shell Extended Supersymmetries and Lorentz-Violating Abelian Gauge Models

Authors

Ney, Wander G.

Helayel-Neto, J. A.

Spalenza, Wesley

Description

In this work, we propose the N=2 and N=4 supersymmetric extensions realized off-shell of the Abelian gauge model with Chern-Simons Lorentz-breaking term. We start with the theory in 6 and 10 dimensions and reduce à la Scherk the space-like coordinates to carry out the D=5 model in both cases. Then, we reduce the fifth space-like coordinate using the Legendre transformation technique for dimensional reduction. The last reduction method provides us with auxiliary fields that yield the superalgebra closed off-shell. Since the reduced bosonic Lagrangians from $6D$ and $10D$ are the same as the N=2 and N=4 SUSY-versions of the theory, respectively, we use the superspace-superfield formalism in N=1 to achieve the supersymmetric version of model.
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