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.
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R. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional String Compactifications with D-branes, Orientifolds and Fluxes, Phys. Rept. 445 (2007) 1 [hep-th/0610327] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, String theory and particle physics: An introduction to string theory, Cambridge University Press (2012) [DOI].
E. Witten, Some Properties of O(32) Superstrings, Phys. Lett. B 149 (1984) 351 [INSPIRE].
D. Cremades, L.E. Ibáñez and F. Marchesano, Computing Yukawa couplings from magnetized extra dimensions, JHEP 05 (2004) 079 [hep-th/0404229] [INSPIRE].
H. Abe, K.-S. Choi, T. Kobayashi and H. Ohki, Higher Order Couplings in Magnetized Brane Models, JHEP 06 (2009) 080 [arXiv:0903.3800] [INSPIRE].
Y. Matsumoto and Y. Sakamura, Yukawa couplings in 6D gauge-Higgs unification on T2/ZN with magnetic fluxes, PTEP 2016 (2016) 053B06 [arXiv:1602.01994] [INSPIRE].
W. Buchmüller, M. Dierigl, E. Dudas and J. Schweizer, Effective field theory for magnetic compactifications, JHEP 04 (2017) 052 [arXiv:1611.03798] [INSPIRE].
D.M. Ghilencea and H.M. Lee, Wilson lines and UV sensitivity in magnetic compactifications, JHEP 06 (2017) 039 [arXiv:1703.10418] [INSPIRE].
W. Buchmüller, M. Dierigl and E. Dudas, Flux compactifications and naturalness, JHEP 08 (2018) 151 [arXiv:1804.07497] [INSPIRE].
T. Hirose and N. Maru, Cancellation of One-loop Corrections to Scalar Masses in Yang-Mills Theory with Flux Compactification, JHEP 08 (2019) 054 [arXiv:1904.06028] [INSPIRE].
M. Honda and T. Shibasaki, Wilson-line Scalar as a Nambu-Goldstone Boson in Flux Compactifications and Higher-loop Corrections, JHEP 03 (2020) 031 [arXiv:1912.04581] [INSPIRE].
T. Hirose and N. Maru, Cancellation of One-loop Corrections to Scalar Masses in Flux Compactification with Higher Dimensional Operators, J. Phys. G 48 (2021) 055005 [arXiv:2012.03494] [INSPIRE].
T. Hirose and N. Maru, Nonvanishing finite scalar mass in flux compactification, JHEP 06 (2021) 159 [arXiv:2104.01779] [INSPIRE].
Planck collaboration, Planck 2018 results. X. Constraints on inflation, Astron. Astrophys. 641 (2020) A10 [arXiv:1807.06211] [INSPIRE].
K. Freese, J.A. Frieman and A.V. Olinto, Natural inflation with pseudo — Nambu-Goldstone bosons, Phys. Rev. Lett. 65 (1990) 3233 [INSPIRE].
F.C. Adams, J.R. Bond, K. Freese, J.A. Frieman and A.V. Olinto, Natural inflation: Particle physics models, power law spectra for large scale structure, and constraints from COBE, Phys. Rev. D 47 (1993) 426 [hep-ph/9207245] [INSPIRE].
N. Arkani-Hamed, H.-C. Cheng, P. Creminelli and L. Randall, Extra natural inflation, Phys. Rev. Lett. 90 (2003) 221302 [hep-th/0301218] [INSPIRE].
T. Inami, Y. Koyama, C.-M. Lin and S. Minakami, Inflaton versus Curvaton in Higher Dimensional Gauge Theories, Prog. Theor. Phys. 125 (2011) 345 [arXiv:1004.5477] [INSPIRE].
H. Hatanaka, T. Inami and C.S. Lim, The Gauge hierarchy problem and higher dimensional gauge theories, Mod. Phys. Lett. A 13 (1998) 2601 [hep-th/9805067] [INSPIRE].
I. Antoniadis, K. Benakli and M. Quirós, Finite Higgs mass without supersymmetry, New J. Phys. 3 (2001) 20 [hep-th/0108005] [INSPIRE].
G. von Gersdorff, N. Irges and M. Quirós, Bulk and brane radiative effects in gauge theories on orbifolds, Nucl. Phys. B 635 (2002) 127 [hep-th/0204223] [INSPIRE].
R. Contino, Y. Nomura and A. Pomarol, Higgs as a holographic pseudoGoldstone boson, Nucl. Phys. B 671 (2003) 148 [hep-ph/0306259] [INSPIRE].
C.S. Lim, N. Maru and K. Hasegawa, Six Dimensional Gauge-Higgs Unification with an Extra Space S2 and the Hierarchy Problem, J. Phys. Soc. Jap. 77 (2008) 074101 [hep-th/0605180] [INSPIRE].
N. Maru and T. Yamashita, Two-loop Calculation of Higgs Mass in Gauge-Higgs Unification: 5D Massless QED Compactified on S1, Nucl. Phys. B 754 (2006) 127 [hep-ph/0603237] [INSPIRE].
Y. Hosotani, N. Maru, K. Takenaga and T. Yamashita, Two Loop finiteness of Higgs mass and potential in the gauge-Higgs unification, Frog. Theor. Fhys. 118 (2007) 1053 [arXiv: 0709. 2844] [INSPIRE].
Y. Hamada and T. Kobayashi, Massive Modes in Magnetized Brane Models, Frog. Theor. Fhys. 128 (2012) 903 [arXiv:1207. 6867] [INSPIRE].
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Hirose, T., Maru, N. Extranatural flux inflation. J. High Energ. Phys. 2021, 124 (2021). https://doi.org/10.1007/JHEP09(2021)124
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DOI: https://doi.org/10.1007/JHEP09(2021)124