Infinitely Large New Dimensions

Nima Arkani-Hamed, Savas Dimopoulos, Gia Dvali, Nemanja Kaloper

Submitted on 29 July 1999


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 MPl is determined in terms of the fundamental Planck scale M and the AdS radius of curvature L via the familiar relation MPl2M2+nLn; L acts as an effective radius of compactification for gravity on the intersection. Taking M TeV and L sub-mm reproduces the phenomenology of theories with large extra dimensions. Alternately, taking ML1MPl, and placing our 3-brane a distance 100MPl1 away from the intersection gives us a theory with an exponential determination of the Weak/Planck hierarchy.


Comment: 4 pages, revtex, no figures

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