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arXiv · 1607.02095

Implications of Lorentz symmetry violation on a 5D supersymmetric model

J. D. García-Aguilar·A. Pérez-Lorenzana
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Abstract

Field models with $n$ extra spatial dimensions have a larger $SO(1,3+n)$ Lorentz symmetry which is broken down to the standard $SO(1,3)$ four dimensional one by the compactification process. By considering Lorentz violating operators in a $5D$ supersymmetric Wess-Zumino mo\-del, which otherwise conserve the standard four dimensional Poincare invariance, we show that supersymmetry can be restored upon a simple deformation of the supersymmetric transformations. However, supersymmetry is not preserved in the effective $4D$ theory that arises after compactification when the $5D$ Lorentz violating operators do not preserve $Z_2: y\rightarrow -y$ 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.

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J. D. García-Aguilar, A. Pérez-Lorenzana. 2017-02-28. Implications of Lorentz symmetry violation on a 5D supersymmetric model. https://doi.org/10.1142/s0217751x1750052x

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