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-parity can be extended to a continuous global symmetry. We investigate whether an anomalous can be identified as the Peccei-Quinn symmetry suitable for solving the strong problem within supersymmetric extensions of the Standard Model. In this case, is broken at some intermediate scale and the quantum chromodynamics axion is the -axion. Moreover, the -symmetry can potentially be gauged via the Green-Schwarz mechanism within completions to supergravity, in order to evade the axion quality problem. Obstacles to realizing this scenario are highlighted and phenomenologically viable approaches are identified. Published by the American Physical Society2025more » « lessFree, publicly-accessible full text available January 30, 2026
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