Deconstructing higher order clockwork gravity

TL;DR

This paper explores a higher order clockwork model of gravity that couples multiple gravitons to generate a Planck scale interaction, revealing a natural five-dimensional geometric interpretation and connections to braneworld models like Randall-Sundrum.

Contribution

It introduces a higher order gravitational clockwork framework that naturally maps to a 5D continuum model and generalizes braneworld scenarios without requiring a dilaton.

Findings

Gravitational clockwork can be described by a 5D geometric model.

The framework reproduces Randall-Sundrum as a special case.

It leads to scalar-tensor braneworld models without a dilaton.

Abstract

We consider the higher order clockwork theory of gravitational interactions, whereby a number of gravitons are coupled together with TeV strength, but nevertheless generate a Planck scale coupling to matter without the need for a dilaton. It is shown that the framework naturally lends itself to a five-dimensional geometry, and we find the 5D continuum version of such deconstructed 4D gravitational clockwork models. Moreover, the clockwork picture has matter coupled to particular gravitons, which in the 5D framework looks like a braneworld model, with the Randall-Sundrum model being a special case. More generally, the gravitational clockwork leads to a family of scalar-tensor braneworld models, where the scalar is not a dilaton.