Graviton confinement inside hypermonopoles of any dimension

TL;DR

This paper demonstrates the existence of metastable massive gravitons confined in hypermonopoles across various dimensions, which could explain the observed four-dimensional gravity and address the hierarchy problem.

Contribution

It introduces a mechanism for graviton confinement in hypermonopoles of any dimension, linking it to the Dvali-Gabadadze-Porrati model and the hierarchy problem.

Findings

Metastable massive gravitons exist in hypermonopole cores.

Confinement occurs for Higgs and gauge couplings of order unity.

The effective Planck mass depends on the graviton mass, potentially solving the hierarchy problem.

Abstract

We show the generic existence of metastable massive gravitons in the four-dimensional core of self-gravitating hypermonopoles in any number of infinite-volume extra-dimensions. Confinement is observed for Higgs and gauge bosons couplings of the order unity. Provided these resonances are light enough, they realise the Dvali-Gabadadze-Porrati mechanism by inducing a four-dimensional gravity law on some intermediate length scales. The effective four-dimensional Planck mass is shown to be proportional to a negative power of the graviton mass. As a result, requiring gravity to be four-dimensional on cosmological length scales may solve the mass hierarchy problem.