Discretized Gravity in 6D Warped Space

TL;DR

This paper explores discretized gravity in six dimensions with hyperbolic extra dimensions, demonstrating that a hyperbolic disk can enhance the strong coupling scale and facilitate small neutrino masses, with potential collider implications.

Contribution

It introduces a novel discretization of 6D gravity on a hyperbolic disk and shows how this setup can increase the strong coupling scale and generate small neutrino masses.

Findings

Strong coupling scale can be increased with hyperbolic disk geometry.

Small Dirac neutrino masses can be naturally generated via volume suppression.

Potential collider signatures discussed.

Abstract

We consider discretized gravity in six dimensions, where the two extra dimensions have been compactified on a hyperbolic disk of constant curvature. We analyze different realizations of lattice gravity on the disk at the level of an effective field theory for massive gravitons. It is shown that the observed strong coupling scale of lattice gravity in discretized five-dimensional flat or warped space can be increased when the latticized fifth dimension is wrapped around a hyperbolic disk that has a non-trivial warp factor. As an application, we also discuss the generation of naturally small Dirac neutrino masses via a discrete volume suppression mechanism and discuss briefly collider implications of our model.