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A Holographic Perspective on the Axion Quality Problem
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abstract
The axion provides a compelling solution to the strong CP problem as well as a candidate for the dark matter of the universe. However, the axion solution relies on the spontaneous breaking of a global $U(1)_{PQ}$ symmetry, which is also explicitly violated by quantum gravity. To preserve the axion solution, gravitational violations of the $U(1)_{PQ}$ symmetry must be suppressed to sufficiently high order. We present a simple, geometric solution of the axion quality problem by modelling the axion with a bulk complex scalar field in a slice of AdS$_5$, where the $U(1)_{PQ}$ symmetry is spontaneously broken in the bulk but explicitly broken on the UV brane. By localising the axion field towards the IR brane, gravitational violations of the PQ symmetry on the UV brane are sufficiently sequestered. This geometric solution is holographically dual to 4D strong dynamics where the global $U(1)_{PQ}$ is an accidental symmetry to sufficiently high order.
Forward citations
Cited by 4 Pith papers
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A High-Quality Axion from Exact SUSY Chiral Dynamics
A supersymmetric chiral gauge theory stabilized by anomaly-mediated supersymmetry breaking produces a composite QCD axion whose Peccei-Quinn symmetry is protected by a discrete gauge symmetry.
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Suppressing Extra-Dimensional Axion Isocurvature Dynamically
Radion dynamics in warped 5D models enhance the axion decay constant during inflation, satisfying CMB isocurvature bounds at higher Hubble scales while restoring the QCD window afterward.
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The Minimal High-Quality QCD Axion
A flat-interval 5D U(1) Wilson-line axion with 4D KSVZ/DFSZ anomaly sector supplies exponential quality protection while remaining minimal.
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Axion Quality Problem: Keep Calm and Baryon
The QCD axion can be the Goldstone boson of baryon number in a minimal N_c=N_f supersymmetric QCD sector, with PQ-breaking effects suppressed by dimension N_c+2 operators.
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