Broken Symmetry as a Stabilizing Remnant

TL;DR

This paper extends the Goldberger-Wise stabilization mechanism to multiple warped throats sharing a common UV brane, exploring how discrete symmetries influence whether the throat lengths are equal or differ.

Contribution

It generalizes the stabilization mechanism to multi-throat models with discrete symmetries, analyzing symmetry-preserving and symmetry-breaking stabilized configurations.

Findings

Symmetry can be preserved or broken in stabilized throat lengths.

The work applies to models with Z_2 and Z_3 symmetries.

Results are relevant for models with KK parity and flavor symmetries.

Abstract

The Goldberger-Wise mechanism enables one to stabilize the length of the warped extra dimension employed in Randall-Sundrum models. In this work we generalize this mechanism to models with multiple warped throats sharing a common ultraviolet brane. For independent throats this generalization is straight forward. If the throats possess a discrete interchange symmetry like Z_n the stabilizing dynamics may respect the symmetry, resulting in equal throat lengths, or they may break it. In the latter case the ground state of an initially symmetric configuration is a stabilized asymmetric configuration in which the throat lengths differ. We focus on two- (three-) throat setups with a Z_2 (Z_3) interchange symmetry and present stabilization dynamics suitable for either breaking or maintaining the symmetry. Though admitting more general application, our results are relevant for existing models in the literature, including the two throat model with Kaluza-Klein parity and the three throat model of flavor based on a broken Z_3 symmetry.