A Holographic Perspective on the Axion Quality Problem

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.

arXiv comment20 pages, 5 figures

References in corpus (28)

• A Large Mass Hierarchy from a Small Extra Dimension
• The Large N Limit of Superconformal Field Theories and Supergravity
• QCD and a Holographic Model of Hadrons
• The QCD axion, precisely
• Chiral symmetry breaking from five dimensional spaces
• Planck-Scale Physics and the Peccei-Quinn Mechanism
• Solutions to the strong CP problem in a world with gravity
• Strong CP problem and mirror world: the Weinberg Wilczek axion revisited
• Grand unification and heavy axion
• Anomalous solutions to the strong CP problem
• The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
• A Model of Visible QCD Axion
• Invisible Axions and Large-Radius Compactifications
• A QCD Axion from Higher Dimensional Gauge Field
• Composite Accidental Axions
• The Peccei-Quinn Symmetry from a Gauged Discrete R Symmetry
• A "Gauged" $U(1)$ Peccei-Quinn Symmetry
• A High Quality Composite Axion
• Automatic Peccei-Quinn symmetry
• Warped Axions
• Peccei-Quinn Symmetry from Dynamical Supersymmetry Breaking
• A Composite Axion from a Supersymmetric Product Group
• Protecting the Axion with Local Baryon Number
• Higher-Dimensional QCD without the Strong CP Problem
• $B-L$ as a Gauged Peccei-Quinn Symmetry
• Gauged Peccei-Quinn Symmetry - A Case of Simultaneous Breaking of SUSY and PQ Symmetry
• Selecting Gauge Theories on an Interval by 5D Gauge Transformations
• The Holographic QCD Axion

Cited by in corpus (25)

• The landscape of QCD axion models
• The High Quality QCD Axion and the LHC
• Peccei-Quinn Phase Transition at LIGO
• Heavy Axion Opportunities at the DUNE Near Detector
• Chiral models of composite axions and accidental Peccei-Quinn symmetry
• The Axion Quality Problem: Global Symmetry Breaking and Wormholes
• Neutrino Masses and Hubble Tension via a Majoron in MFV
• Post-inflationary axions: a minimal target for axion haloscopes
• Multiple Hierarchies from a Warped Extra Dimension
• Flavoured Warped Axion
• Axion Quality Problem Alleviated by Non-Minimal Coupling to Gravity
• Coloured gravitational instantons, the strong CP problem and the companion axion solution
• Light Sterile Neutrinos and a High-Quality Axion from a Holographic Peccei-Quinn Mechanism
• Baryon Asymmetric Universe from Spontaneous CP Violation
• A Common Origin for the QCD Axion and Sterile Neutrinos from $SU(5)$ Strong Dynamics
• High Quality Axion via a Doubly Composite Dynamics
• Scattering Amplitudes of Massive Spin-2 Kaluza-Klein States with Matter
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model
• Holography of Broken U(1) Symmetry
• Extra-dimensional axion patterns
• The axion flavour connection
• The LHC as an Axion-Photon Collider
• Implications of the weak gravity conjecture in anomalous quiver gauge theories
• Translating current ALP photon coupling strength bounds to the Randall-Sundrum model
• A composite Froggatt-Nielsen model of flavor