Generalized Clockwork Theory

Abstract

We generalize the clockwork theory in several directions. First, we consider beyond nearest neighbors interactions. Considering such interactions keeps a larger subgroup of the original $U(1{)}^{N+1}$ unbroken and can allow for different symmetry breaking patterns. We recover the original clockwork scenario in the presence of these additional interactions. In such case, the masses of the massive modes change, but a single massless mode remains intact. Such interactions are naturally interpreted as higher derivative terms from the point of view of extra dimensions. Second, we generalize the clockwork shift symmetry to non-abelian global groups. Third, trivial embedding of the clockwork scenario in supergravity, yields an AdS minimum as big as the clockwork interaction. Specifically, the clockwork is connected to the cosmological constant. We analyze the different ways in which a Minkowski supersymmetric minimum can be constructed, and demonstrate simple SUSY breaking mechanisms that preserve or break the clockwork symmetry. We show that the clockwork direction is actually a special SUSY breaking direction, that does not require the inclusion of additional fields or parameters. Fourth, we review the extra-dimensional origin of the mechanism and interpretation, in the case of conformal coupling to gravity.

Significant additions in all sections including specific examples and an appendix (fractional and integer charges in sec. 2, continuum limit in sec. 3, Non-abelian example including tadpole cancellation in sec. 4, SUSY and CW conserving and breaking in sec. 5, site dependent charges in the conformally coupled version in sec. 6, various charges in appendix). Matches the published version

References in corpus (18)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• General inflaton potentials in supergravity
• Natural inflation with multiple sub-Planckian axions
• A Clockwork Theory
• The photo-philic QCD axion
• Axion Inflation in Type II String Theory
• Hierarchical Axion Inflation
• Disassembling the Clockwork Mechanism
• Topological Defects and nano-Hz Gravitational Waves in Aligned Axion Models
• A Clockwork WIMP
• Clockwork Goldstone Bosons
• Clockwork Inflation
• Radion Dynamics and Phenomenology in the Linear Dilaton Model
• Dynamical Clockwork Axions
• Supergravity Higgs Inflation and Shift Symmetry in Electroweak Theory
• Graviton Phenomenology of Linear Dilaton Geometries
• Comment on "Disassembling the Clockwork Mechanism"
• Helical Inflation and Cosmic Strings

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• Clockwork Goldstone Bosons
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• Clockwork without supersymmetry
• Clockwork Cosmology
• Gauge Field Localization in the Linear Dilaton Background
• Majorana Neutrinos and Clockworked Yukawa Couplings contribution to non-observation of the rare leptonic decay $l_i\to l_j\gamma$, Clockwork Photon and Clockwork Graviton
• A Clockwork Solution to the Doublet-Triplet Splitting Problem
• Revisiting Neutrino Masses In Clockwork Models