Abstract
We study the realization of axion inflation models in the complex structure moduli spaces of Calabi–Yau threefolds and fourfolds. The axions arise close to special points of these moduli spaces that admit discrete monodromy symmetries of infinite order. Examples include the large complex structure point and conifold point, but can be of more general nature. In Type IIB and F-theory compactifications the geometric axions receive a scalar potential from a flux-induced superpotential. We find toy variants of various inflationary potentials including the ones for natural inflation of one or multiple axions, or axion monodromy inflation with polynomial potential. Interesting examples are also given by mirror geometries of torus fibrations with Mordell–Weil group of rank N−1 or an N-section, which admit an axion if N>3.
Highlights
The realization of inflationary models in string theory is a long-standing challenge [1]
In this paper we study a rich class of axion inflationary models arising from the axions being realized in the complex structure moduli space of the internal manifold
In this paper we initiated a systematic study of the global structure of the complex structure moduli space of Calabi-Yau threefolds and fourfolds with application to building inflationary models in N = 1 flux compactifications
Summary
The realization of inflationary models in string theory is a long-standing challenge [1]. Models of axion monodromy inflation where suggested to arise in supersymmetric theories from an F-term breaking [19, 21] For all of these scenarios, it should be stressed that the shift symmetries of the fields for the kinetic terms are only present at special points in moduli space, at which the extended objects coupling to the form-fields are sufficiently heavy. For sufficiently generic fluxes the superpotential breaks the discrete monodromy symmetry as well as the local continuous shift symmetry Evaluating this superpotential at different special points that admit axions, we show that different types of shapes of scalar potentials are induced.
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