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Axion Couplings in Heterotic String Theory
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We study the coupling of axions to gauge bosons in heterotic string theory. The axion-gauge boson couplings in the low energy 4d theory are derived by matching mixed anomalies between higher-form global symmetries and the zero-form gauge symmetry in the 10d theory. When the standard model gauge group is embedded in a single simple group in the 10d theory -- as is the case for almost all heterotic models studied in the literature -- the ratio of the axion-photon coupling to the axion mass is bounded above by the QCD line. This bound is relevant for a large number of axion searches which have sensitivity to axion parameter space above this line. The discovery of an axion in these searches will rule out a large class of heterotic models, making such a signal challenging to explain within heterotic string theory.
Forward citations
Cited by 3 Pith papers
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The String Theory Photoverse
Massless string-theory hidden photons acquire dimension-six dipole couplings to SM fermions with suppression scale Λ = αM_s, converting dipole measurements into constraints on the string scale.
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Generic heterotic axions are heavier than in type IIB; the Strong CP problem is typically unsolved, and a light fuzzy dark matter axion requires a no-gaugino-condensation anisotropic fibred Calabi-Yau.
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String Theory and Grand Unification Suggest a Sub-Microelectronvolt QCD Axion
String-theoretic axions consistent with grand unification and proton decay are predicted to have masses in the 3e-11 to 1e-8 eV window, with at most 47 axions in the Kreuzer-Skarke ensemble.
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