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Wiggly dilaton: a landscape of spontaneously broken scale invariance

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arxiv 2411.16304 v2 pith:APQDRFNN submitted 2024-11-25 hep-th hep-ph

Wiggly dilaton: a landscape of spontaneously broken scale invariance

classification hep-th hep-ph
keywords dilatonwigglyboundaryfieldinvariancelightpotentialscale
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The dilaton emerges as a pseudo-Nambu-Goldstone boson (pNGB) associated with the spontaneous breaking of scale invariance in a nearly conformal field theory (CFT). We show the existence of a wiggly dilaton potential that contains multiple vacuum solutions in a five-dimensional (5D) holographic formulation. The wiggly feature originates from boundary potentials of a 5D axion-like scalar field, whose naturally small bulk mass parameter corresponds to a marginally-relevant deformation of the dual CFT. Depending on the energy density of a boundary 3-brane, our model can provide a relaxion potential or generate a light dilaton. However, an extremely light dilaton requires fine-tuning.

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