Self-gravitating non-abelian kinks as brane worlds

TL;DR

This paper explores self-gravitating non-abelian domain walls in an SU(N) x Z_2 symmetric theory, constructs analytical solutions for N=5, and investigates fermion and gauge field localization mechanisms on these branes.

Contribution

It extends the study of non-abelian kinks to include gravitational effects and provides analytical solutions for N=5, analyzing localization of matter fields.

Findings

Stable non-abelian kinks exist with gravitational effects similar to flat space.

Fermion fields can be localized in different representations on these branes.

Gauge fields cannot be localized via interactions but can be through the Dvali-Shifman mechanism.

Abstract

We address the properties of self-gravitating domain walls arising from the breaking of an SU(N) x Z_2- symmetric theory. In the particular case of N=5, we find that the two classes of stable non-abelian kinks possible in flat space have an analogue in the gravitational case, and construct the analytical solutions. Localization of fermion fields in different representations of the gauge group in these branes is investigated. It is also shown that non-abelian gauge fields localization cannot be achieved through interactions with the brane, but that in one of the two classes of kinks this localization can be implemented via the Dvali-Shifman mechanism.