A universe in a global monopole

We investigate brane physics in a universe with an extra dimensional global monopole and negative bulk cosmological constant. The graviton zero mode is naturally divergent; we thus invoke a physical cutoff to induce four-dimensional gravity on a brane at the monopole core. Independently, the massive Kaluza-Klein modes have naturally compactified extra dimensions, inducing a discrete spectrum. This spectrum remains consistent with four-dimensional gravity on the brane, even for a small mass gap. Extra dimensional matter fields also induce four-dimensional matter fields on the brane, with the same Kaluza-Klein spectrum of excited states. We choose parameters to solve the hierarchy problem, that is, to induce the observed hierarchy between particle and Planck scales in the effective four-dimensional universe.