Higher Order Clockwork Gravity

Abstract

We present a higher order generalisation of the clockwork mechanism starting from an underlying non-linear multigravity theory with a single scale and nearest neighbour ghost-free interactions. Without introducing any hierarchies in the underlying potential, this admits a family of Minkowski vacua around which massless graviton fluctuations couple to matter exponentially more weakly than the heavy modes. Although multi-diffeomorphisms are broken to the diagonal subgroup in our theory, an asymmetric distribution of conformal factors in the background vacua translates this diagonal symmetry into an asymmetric shift of the graviton gears. In particular we present a TeV scale multigravity model with $\mathcal{O}(10)$ sites that contains a massless mode whose coupling to matter is Planckian, and a tower of massive modes starting at a TeV mass range and with TeV strength couplings. This suggests a possible application to the hierarchy problem as well as a candidate for dark matter.

5 pages, v2: matches published version

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Cited by in corpus (12)

• Clockwork origin of neutrino mixings
• Black Holes in Multi-Metric Gravity
• Heterotic M-Theory from the Clockwork Perspective
• Clockwork Cosmology
• Deconstructing higher order clockwork gravity
• Gauge Field Localization in the Linear Dilaton Background
• A natural theory of dark energy
• Mass spectrum and linear perturbations of ghost-free multi-spin-2 theory
• A Clockwork Solution to the Doublet-Triplet Splitting Problem
• Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches
• Large-$N$ Random Matrix Gravity and the Double Hierarchy Problem
• Revisiting Neutrino Masses In Clockwork Models