On the Possibility of Large Axion Moduli Spaces

Abstract

We study the diameters of axion moduli spaces, focusing primarily on type IIB compactifications on Calabi-Yau three-folds. In this case, we derive a stringent bound on the diameter in the large volume region of parameter space for Calabi-Yaus with simplicial Kähler cone. This bound can be violated by Calabi-Yaus with non-simplicial Kähler cones, but additional contributions are introduced to the effective action which can restrict the field range accessible to the axions. We perform a statistical analysis of simulated moduli spaces, finding in all cases that these additional contributions restrict the diameter so that these moduli spaces are no more likely to yield successful inflation than those with simplicial Kähler cone or with far fewer axions. Further heuristic arguments for axions in other corners of the duality web suggest that the difficulty observed in hep-th/0303252 of finding an axion decay constant parametrically larger than $M_p$ applies not only to individual axions, but to the diagonals of axion moduli space as well. This observation is shown to follow from the weak gravity conjecture of hep-th/0601001, so it likely applies not only to axions in string theory, but also to axions in any consistent theory of quantum gravity.

arXiv comment26+11 pages, 9 figures, discussion of relationship to weak gravity conjecture added v2, references added v3, minor changes v4, matches publication version

References in corpus (43)

• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Axions In String Theory
• The String Landscape, Black Holes and Gravity as the Weakest Force
• On the Geometry of the String Landscape and the Swampland
• Planck 2013 results. XXII. Constraints on inflation
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Gravity Waves and Linear Inflation from Axion Monodromy
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Non-Perturbative Superpotentials In String Theory
• Completing Natural Inflation
• Phase Transitions In M-Theory And F-Theory
• N-flation
• The String Landscape and the Swampland
• Assisted inflation
• Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
• Oscillations in the CMB from Axion Monodromy Inflation
• Black Holes and Large N Species Solution to the Hierarchy Problem
• On the Possibility of Large Axion Decay Constants
• Assisted inflation via tachyon condensation
• Naturalness and the Weak Gravity Conjecture
• Extranatural Inflation
• Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
• Generalized Assisted Inflation
• Assisted Tachyonic Inflation
• M-Theory Inflation from Multi M5-Brane Dynamics
• Fitting the Gamma-Ray Spectrum from Dark Matter with DMFIT: GLAST and the Galactic Center Region
• Measuring Small Distances in N=2 Sigma Models
• On the Realization of Assisted Inflation
• Axion Inflation in Type II String Theory
• Volume Modulus Inflation and the Gravitino Mass Problem
• Compactifications of moduli spaces inspired by mirror symmetry
• Assisted Chaotic Inflation in Higher Dimensional Theories
• The effective action of type II Calabi-Yau orientifolds
• Axion Inflation and Gravity Waves in String Theory
• A New Angle on Chaotic Inflation
• Inflation in large N limit of supersymmetric gauge theories
• N-flation with Hierarchically Light Axions in String Compactifications
• Heavy Tails in Calabi-Yau Moduli Spaces
• Dynamics and perturbations in assisted chaotic inflation
• On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
• Large N Cosmology

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