Abstract
We propose a new inflation scenario in flux compactification, where a zero mode scalar field of extra components of the higher dimensional gauge field is identified with an inflaton. The scalar field is a pseudo Nambu-Goldstone boson of spontaneously broken translational symmetry in compactified spaces. The inflaton potential is non-local and finite, which is protected against the higher dimensional non-derivative local operators by quantum gravity corrections thanks to the gauge symmetry in higher dimensions and the shift symmetry originated from the translation in extra spaces. We give an explicit inflation model in a six dimensional scalar QED, which is shown to be consistent with Planck 2018 data.
Highlights
That the Wilson line (WL) scalar field becomes a Nambu-Goldstone boson of the spontaneously broken translational symmetry in compactified spaces and the shift symmetry from the translation in compactified spaces forbids the non-derivative terms as well as the mass term of the WL scalar field
The inflaton potential is non-local and finite, which is protected against the higher dimensional non-derivative local operators by quantum gravity corrections thanks to the gauge symmetry in higher dimensions and the shift symmetry originated from the translation in extra spaces
We have proposed a new inflation model in flux compactification, which is refered to as “extranatural flux inflation”
Summary
We consider a six-dimensional U(1) gauge theory with a constant magnetic flux couples to a scalar field in the bulk. In the context of this paper, this term is crucial to obtain a nonvanishing one-loop effective potential of φ as well as the mass term This is due to the property that the scalar field φ is the Nambu-Goldstone boson of the translational symmetry in compactified spaces, which forbids non-derivative terms such as the mass and potential terms and the explicit breaking terms for the translational symmetry are required. Which introduces a constant magnetic flux density F56 = f with a real number f. Note that this solution breaks an extra-dimensional translational invariance spontaneously. To distinguish φ from an introduced bulk scalar Φ, we call φ Wilson line (WL) scalar field
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