Planckian axions in string theory

A bstract We argue that super-Planckian diameters of axion fundamental domains can arise in Calabi-Yau compactifications of string theory. In a theory with N axions θ i , the fundamental domain is a polytope defined by the periodicities of the axions, via constraints of the form −  π   N constraints...

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Bibliographic Details
Published in:The journal of high energy physics 2015-12, Vol.2015 (12), p.1-36
Main Authors: Bachlechner, Thomas C., Long, Cody, McAllister, Liam
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Eigenvalues
Eigenvectors
Elementary Particles
Flux
High energy physics
Inflation
Physics
Physics and Astronomy
Polytopes
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Stabilization
String Theory
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Summary:A bstract We argue that super-Planckian diameters of axion fundamental domains can arise in Calabi-Yau compactifications of string theory. In a theory with N axions θ i , the fundamental domain is a polytope defined by the periodicities of the axions, via constraints of the form −  π   N constraints, while for P = N the diameter is further enhanced by eigenvector delocalization to N 3/2 f N . We directly verify our results in explicit Calabi-Yau compactifications of type IIB string theory. In the classic example with h 1,1 = 51 where parametrically controlled moduli stabilization was demonstrated by Denef et al. in [ 1 ], the largest metric eigenvalue obeys f N ≈ 0.013 M pl . The random matrix analysis then predicts, and we exhibit, axion diameters ≈ M pl for the precise vacuum parameters found in [ 1 ]. Our results provide a framework for pursuing large-field axion inflation in well-understood flux vacua.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2015)042