Localized gravity and mass hierarchy in D=6 with the Gauss-Bonnet term

TL;DR

This paper explores how localized gravity and the mass hierarchy problem can be addressed in a six-dimensional model with Gauss-Bonnet corrections, involving intersecting 4-branes and orbifold compactification.

Contribution

It demonstrates the possibility of gravity localization on intersecting 4-branes in D=6 with Gauss-Bonnet terms and explains the mass hierarchy via orbifold fixed points.

Findings

Gravity can be confined to solitonic 4-branes with specific Gauss-Bonnet coupling.

The model allows for a localized intersection tension.

The hierarchy problem can be addressed with orbifold compactification.

Abstract

We obtain the localized gravity on the intersection of two orthogonal non-solitonic or solitonic 4-branes in D=6 in the presence of the Gauss-Bonnet term. The tension of the intersection is allowed to exist unlike the case without the Gauss-Bonnet term. We show that gravity could be confined to the solitonic 4-branes for a particular choice of the Gauss-Bonnet coupling. If the extra dimensions are compactified with the $T^2/(Z_2\times Z_2)$ orbifold symmetry, the mass hierarchy between the Planck scale and the weak scale can be explained by putting our universe at the TeV intersection of positive tension located at the orbifold fixed point.