Discussing cosmic string configurations in a supersymmetric scenario without Lorentz invariance

Abstract

The main goal of this work is to pursue an investigation of cosmic string configurations focusing on possible consequences of the Lorentz-symmetry breaking by a background vector. We analyze the possibility of cosmic strings as a viable source for fermionic Cold Dark Matter particles. Whenever the latter are charged and have mass of the order of 10 13 GeV , we propose they could decay into usual cosmic rays.We have also contemplated the sector of neutral particles generated in our model. Indeed, being neutral, these particles are hard to be detected; however, by virtue of the Lorentz-symmetry breaking background vector, it is possible that they may present an electromagnetic interaction with a significant magnetic moment.

Casimir energy and brane stability

“…In this section we apply the Casimir energy contriubtions reviewed in Section Three to a scalar field coupled to a vector field with a VEV localized to the 5 th dimension. Although this scenario clearly violates Lorentz invariance, it has been well explored in the literature [50,51], and tests of Lorentz invariance violations are receiving a lot of attention for a possible role in cosmology [52,53,54,55,56,57]. It was demonstrated by Kostelecky that spontaneous Lorentz breaking may occur in the context of some string theories [58].…”