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A Composite Axion from a Supersymmetric Product Group
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A global $U(1)_\text{PQ}$ symmetry is protected from gravitational effects in the s-confining $SU(N)^k$ product group theory with $A+4Q +N\overline{Q}$ matter. If the $SU(4)$ family symmetry is gauged and an appropriate tree-level superpotential is added, then the dynamically generated superpotential spontaneously breaks $SU(4)\times U(1)_\text{PQ} \rightarrow SU(3)_c$ and produces a QCD axion. Small values of the $CP$-violating $\theta$ parameter are then possible without any fine-tuning, as long as the product group is suitably large. By introducing a second copy of the s-confining $SU(N)$ product group also coupled to the gauged $SU(4)$, we find that values as small as $N=7$ are consistent with $\bar\theta<10^{-10}$, even under the pessimistic assumption that the dominant contribution to the axion quality is at tree level.
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Forward citations
Cited by 3 Pith papers
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The Holographic QCD Axion in Five Dimensions
A 5D holographic QCD axion model identifies bulk modes for the axion and eta prime, traces the quality problem to insufficient compositeness, and finds the physical axion mostly in the bulk gauge field when quality is high.
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Specially Embedding a Composite Axion Model
Special embedding of the composite axion and QCD gauge groups into a larger product gauge group reduces the domain wall number to unity and induces a controlled bias term from UV instantons that destabilizes the walls.
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Axion Quality in Warped Extra-Dimension
Warped extra-dimensional axion models achieve high quality when nonlocal U(1)-charged field effects are sufficiently suppressed by the warp factor and orbifold structure.
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