Abstract
We give an explicit realization of the “StringAxiverse” discussed in Arvanitaki et. al [1] by extending our previous results on moduli stabilization in M theory to include axions. We extend the analysis of [1] to allow for high scale inflation that leads to a moduli dominated pre-BBN Universe. We demonstrate that an axion which solves the strong-CP problem naturally arises and that both the axion decay constants and GUT scale can consistently be around 2 × 1016 GeV with a much smaller fine tuning than is usually expected. Constraints on the Axiverse from cosmological observations, namely isocurvature perturbations and tensor modes are described. Extending work of Fox et. al [2], we note that the observation of tensor modes at Planck will falsify the Axiverse completely. Finally we note that Axiverse models whose lightest axion has mass of order 10−15 eV and with decay constants of order 5 × 1014 GeV require no (anthropic) fine-tuning, though standard unification at 1016 GeV is difficult to accommodate.
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Samir Acharya, B., Bobkov, K. & Kumar, P. An M theory solution to the strong CP-problem, and constraints on the axiverse. J. High Energ. Phys. 2010, 105 (2010). https://doi.org/10.1007/JHEP11(2010)105
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DOI: https://doi.org/10.1007/JHEP11(2010)105