Implications of Lorentz symmetry violation on a 5D supersymmetric model

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 model, 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 → −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.

Effects of a background scalar field induced by the Lorentz symmetry violation on Non Relativistic Quantum Mechanics

“…Currently, from the model building view, a large effort has been done in different branches of physics to find possibles signal on Lorentz symmetry violation, and therefore, provide experimental bounds on SME parameters. Some of these studios utilizing neutrinos [13][14][15][16][17], photons [18][19][20][21], kaons [22], harmonic oscillator under influence of a Coulomb-like potential [23], Bose-Einstein condensates [24,25], supersymmetry [26,27] and extra dimensions [28,29]. However, a complete treatment of the SME in the nonrelativistic quantum mechanics sector remains an open issue.…”