In Seiberg-Witten theory, the axion-photon coupling is not quantized: light monopoles produce large periodic corrections, and the physical decay rate is duality invariant.
Axions in Gauge Mediation
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In supersymmetric theories, the presence of axions usually implies the existence of a non-compact, (pseudo)moduli space. In gauge mediated models, the axion would seem a particularly promising dark matter candidate. The cosmology of the moduli then constrains the gravitino mass and the axion decay constant; the former can't be much below 10 MeV; the latter can't be much larger than 10^{13} GeV. Axinos, when identifiable, are typically heavy and do not play an important role in cosmology.
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The Seiberg-Witten Axion
In Seiberg-Witten theory, the axion-photon coupling is not quantized: light monopoles produce large periodic corrections, and the physical decay rate is duality invariant.