A 6 dimensional $(Z_{2})^3$ symmetric model with warped physical space

TL;DR

This paper explores a six-dimensional Randall-Sundrum model with a $(Z_{2})^3$ symmetry, analyzing graviton spectra in warped spaces with AdS$_4$ or dS$_4$ metrics, revealing conditions for physically acceptable gravitational excitations.

Contribution

It introduces a novel 6D symmetric model with warped geometry and studies graviton spectra, including solutions with induced gravity and cosmological constant terms.

Findings

Two solutions with different gravity terms are found.

Graviton spectrum depends on model parameters and cosmological constants.

Physically acceptable spectra require a small 4D cosmological constant.

Abstract

The Randall-Sundrum model is studied in 6 dimension with AdS$_4$ or dS$_4$ metric in the physical 4 dimensional space. Two solutions are found, one with induced 5-dimensional gravity terms added to the induced cosmological constant terms. We study the graviton modes in both solutions by transforming the mass eigenvalue equation to a Schrodinger equation with a volcano potential. The spectrum of gravitational excitations depends on the input parameters of the theory, the six dimensional and the effective four-dimensional cosmological constants. The model gives a physically acceptable spectrum if the 4 dimensional cosmological constant is sufficiently small.