Constraints on $D$ Dimensional Warped Spaces

TL;DR

This paper explores higher-dimensional warped spaces with more than five dimensions, analyzing their impact on gauge field spectra and constraints, revealing potential for lower KK scales in certain geometries.

Contribution

It introduces a toy model of D-dimensional warped spaces with anisotropic bulk cosmological constant and classifies solutions based on the extra dimensions' behavior, impacting gauge field phenomenology.

Findings

Different KK spectra for gauge fields in these spaces.

Reduced lower bounds on KK scale for spaces growing towards the IR brane.

Significant deviations from the Randall-Sundrum model results.

Abstract

In order to investigate the phenomenological implications of allowing gauge fields to propagate in warped spaces of more than five dimensions, we consider a toy model of a space warped by the presence of a anisotropic bulk cosmological constant. After solving the Einstein equation, three classes of solutions are found, those in which the additional ($D>5$) dimensions are growing, shrinking or remaining constant. It is found that gauge fields propagating in these spaces have a significantly different Kaluza Klein (KK) mass spectrum and couplings from that of the Randall and Sundrum model. This leads to a greatly reduced lower bound on the KK scale, arising from electroweak constraints, for spaces growing towards the IR brane.