Implications of Lorentz symmetry violation on a 5D supersymmetric model

Autor: García-Aguilar, J. D., Pérez-Lorenzana, A.
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1142/S0217751X1750052X
Popis: 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.
Comment: Some discussion and references added
Databáze: arXiv