Weakly coupled discretized gravity

Abstract

We consider discretized gravity in 4+2 dimensions compactified on a disk of constant negative curvature. The curvature of the disk avoids the presence of dangerous ultra-light scalar modes but comes also along with a high multiplicity of states potentially jeopardizing a good strong-coupling behavior of the discretized theory. We demonstrate that for Standard Model matter propagating on the five-dimensional boundary submanifold of the disk, the strong coupling scale, as seen by an observer, can be parametrically larger than the local Planck scale. As a consequence, we obtain a description of weakly coupled discretized gravity on the boundary that can be compared with the continuum theory all the way up to the effective five-dimensional Planck scale.

12 pages, 3 figures

References in corpus (3)

• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• Non Pauli-Fierz Massive Gravitons
• Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes