PREPRINT
AE86C461-FF6D-4889-80EF-64AD745776D9

# Infinitely Large New Dimensions

Nima Arkani-Hamed, Savas Dimopoulos, Gia Dvali, Nemanja Kaloper
arXiv:hep-th/9907209

Submitted on 29 July 1999

## 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 ${M}_{\ast }$ and the $AdS$ radius of curvature $L$ via the familiar relation ${M}_{Pl}^{2}\sim {M}_{\ast }^{2+n}{L}^{n}$; $L$ acts as an effective radius of compactification for gravity on the intersection. Taking ${M}_{\ast }\sim$ TeV and $L\sim$ sub-mm reproduces the phenomenology of theories with large extra dimensions. Alternately, taking ${M}_{\ast }\sim {L}^{-1}\sim {M}_{Pl}$, 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.

## Preprint

Comment: 4 pages, revtex, no figures

Subjects: High Energy Physics - Theory; Astrophysics; General Relativity and Quantum Cosmology; High Energy Physics - Phenomenology