Gravitational localization of scalar zero modes in SU(5) X Z2 branes

TL;DR

This paper investigates how scalar zero modes are localized by gravity in SU(5) x Z2 branes, revealing gravitational trapping of massless modes related to symmetry breaking in a five-dimensional brane-world model.

Contribution

It analyzes the scalar fluctuation spectrum of non-abelian SU(5) x Z2 branes, highlighting gravitational trapping of zero modes associated with symmetry breaking.

Findings

Scalar zero modes are gravitationally localized on the brane.

Massless modes related to broken symmetries are trapped at the brane core.

The scalar sector exhibits mixing with metric fluctuations, affecting the spectrum.

Abstract

The fluctuations of 5D self-gravitating non-abelian kinks which arise from the breaking of the SU(5) X Z2 symmetric theory are analyzed within the context of brane-worlds. While tensor and vector sectors of these fluctuations behave like its counterparts in the standard abelian Z2 kinks, the mixing between the field excitations of the non-abelian kink and the scalar components of the metric makes the pure scalar sector of the theory very interesting. The spectrum of these scalar fluctuations, which includes gravitationally trapped massless modes on the core of the wall associated to the broken symmetries, is discussed for the two classes of kinks that break SU(5) to its maximal subgroups.