In (D+4)-dimensional uniform inflation the spectral index and tensor-to-scalar ratio are ns=1-(D+6)ε+2η and r=8(D+2)ε, which excludes D≥2 for the five models studied while allowing D=1 in the b0k >> 1 branch.
Extranatural Flux Inflation
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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.
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Analysis of inflationary models in higher-dimensional uniform inflation
In (D+4)-dimensional uniform inflation the spectral index and tensor-to-scalar ratio are ns=1-(D+6)ε+2η and r=8(D+2)ε, which excludes D≥2 for the five models studied while allowing D=1 in the b0k >> 1 branch.