Kaluza-Klein mass spectra on extended dimensional branes

TL;DR

This paper explores the mass spectra and effective couplings of extended dimensional branes, constructed by attaching a circle or sphere, revealing exponential suppression of lightest masses related to the Planck scale.

Contribution

It introduces a detailed analysis of Kaluza-Klein spectra on four- and five-branes with extended dimensions, highlighting their unique mass suppression features.

Findings

Lightest effective masses exponentially suppressed relative to Planck mass

Quantization effects linked to circular and spherical compactifications

Effective couplings analyzed for extended dimensional branes

Abstract

We study the hierarchy problem on the four- and five-branes which are constructed by attaching a circle and a sphere to the standard three-brane, respectively. The effective masses in their excited spectra on these extended dimensional branes imply intriguing characteristics associated with the quantization of the compact circular and spherical manifolds. In particular, their lightest effective masses are shown to suppress exponentially with respective to the Planck mass, similar to the three-brane case. We also investigate the effective couplings in these extended dimensional branes.