Dynamical Stability of Six-dimensional Warped Flux Compactification

TL;DR

This paper demonstrates the dynamical stability of a six-dimensional warped flux compactification model by analyzing linear perturbations and finding no unstable modes, confirming its robustness as a braneworld scenario.

Contribution

The authors perform a detailed stability analysis of a six-dimensional warped flux compactification, identifying the absence of unstable modes and characterizing the Kaluza-Klein spectrum.

Findings

No unstable modes in scalar, vector, or tensor sectors

Existence of zero modes only in the tensor sector, corresponding to four-dimensional gravitons

Calculated the first few Kaluza-Klein modes in each sector

Abstract

We show the dynamical stability of a six-dimensional braneworld solution with warped flux compactification recently found by the authors. We consider linear perturbations around this background spacetime, assuming the axisymmetry in the extra dimensions. The perturbations are expanded by scalar-, vector- and tensor-type harmonics of the four-dimensional Minkoswki spacetime and we analyze each type separately. It is found that there is no unstable mode in each sector and that there are zero modes only in the tensor sector, corresponding to the four-dimensional gravitons. We also obtain the first few Kaluza-Klein modes in each sector.