Infinitely Large New Dimensions

TL;DR

This paper constructs intersecting brane models in Anti-de-Sitter space with any number of extra dimensions, enabling theories with infinitely large dimensions that address TeV-scale gravity and deviations from Newton's law.

Contribution

It introduces a new class of intersecting brane configurations in AdS space that localize gravity and relate the Planck scale to extra dimensions and curvature radius.

Findings

Reproduces large extra dimension phenomenology with TeV-scale fundamental gravity.

Provides a mechanism for exponential hierarchy between weak and Planck scales.

Models predict sub-millimeter deviations from Newtonian gravity.

Abstract

We construct intersecting brane configurations in Anti-de-Sitter space localizing gravity to the intersection region, with any number $n$ of extra dimensions. This allows us to construct two kinds of theories with infinitely large new dimensions, TeV scale quantum gravity and sub-millimeter deviations from Newton's Law. The effective 4D Planck scale $M_{Pl}$ is determined in terms of the fundamental Planck scale $M_*$ and the $AdS$ radius of curvature $L$ via the familiar relation $M_{Pl}^2 \sim M_{*}^{2+n} L^n$; $L$ acts as an effective radius of compactification for gravity on the intersection. Taking $M_* \sim $ TeV and $L \sim $ sub-mm reproduces the phenomenology of theories with large extra dimensions. Alternately, taking $M_* \sim L^{-1} \sim M_{Pl}$, and placing our 3-brane a distance $\sim 100 M_{Pl}^{-1}$ away from the intersection gives us a theory with an exponential determination of the Weak/Planck hierarchy.