The QCD Axion and Moduli Stabilisation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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36 pages; v2: extended discussion of cosmological bound on f_a, references added, version accepted by journal; v3. factor of 2

Scientific paper

10.1088/1126-6708/2006/05/078

We investigate the conditions for a QCD axion to coexist with stabilised moduli in string compactifications. We show how the simplest approaches to moduli stabilisation give unacceptably large masses to the axions. We observe that solving the F-term equations is insufficient for realistic moduli stabilisation and give a no-go theorem on supersymmetric moduli stabilisation with unfixed axions applicable to all string compactifications and relevant to much current work. We demonstrate how nonsupersymmetric moduli stabilisation with unfixed axions can be realised. We finally outline how to stabilise the moduli such that f_a is within the allowed window 10^9 GeV < f_a < 10^{12} GeV, with f_a ~ \sqrt{M_{SUSY} M_P}.

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