Implications of Lorentz symmetry violation on a 5D supersymmetric model

Abstract

Field models with [Formula: see text] extra spatial dimensions have a larger [Formula: see text] Lorentz symmetry which is broken down to the standard [Formula: see text] four-dimensional one by the compactification process. By considering Lorentz violating operators in a 5D supersymmetric Wess–Zumino model, which otherwise conserve the standard four-dimensional Poincaré invariance, we show that supersymmetry (SUSY) can be restored upon a simple deformation of the supersymmetric transformations. However, SUSY is not preserved in the effective 4D theory that arises after compactification when the 5D Lorentz violating operators do not preserve [Formula: see text] bulk parity. Our mechanism unveils a possible connection among Lorentz violation and the Scherk–Schwarz mechanism. We also show that parity preserving models, on the other hand, do provide well defined supersymmetric KK models.