@article{78d6cc9fbe0d4d9caa1cb5c38dcdeed0,
title = "SU (N) natural inflation",
abstract = "We study the SU(N) gauge fields coupled with the inflaton through the Chern-Simons coupling and propose a general procedure for constructing homogeneous, isotropic, and attractor solutions of the gauge fields during inflation. Gauge fields develop various vacuum expectation values corresponding to different spontaneous symmetry-breaking patterns of SU(N), where embedded SU(2) subgroups are broken with the spatial rotation SO(3) symmetry. As specific examples, we construct the stable solutions for N=3 and 4. We numerically solve the gauge field dynamics and confirm that our analytic solutions are complete and act as attractors. Notably, the proposed approach is applicable to the other simple Lie groups.",
author = "Tomohiro Fujita and Kyohei Mukaida and Kai Murai and Hiromasa Nakatsuka",
note = "Funding Information: We would like to thank Katsuki Aoki, Antonio De Felice, Masahiro Ibe, Kohei Kamada, Masahiro Kawasaki, and Yota Shamoto for the useful discussions and comments. Ka. M. was supported by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan, and the Program of Excellence in Photon Science. Ky. M. was supported by MEXT Leading Initiative for Excellent Young Researchers Grant No. JPMXS0320200430. H. N. was supported by the Advanced Leading Graduate Course for Photon Science. This work was supported in part by the Japan Society for the Promotion of Science (JSPS) KAKENHI, Grants No. JP18K13537 (T. F.), No. JP20J20248 (Ka. M.), and No. JP19J21974 (H. N.). Publisher Copyright: {\textcopyright} 2022 authors. Published by the American Physical Society.",
year = "2022",
month = may,
day = "15",
doi = "10.1103/PhysRevD.105.103519",
language = "English",
volume = "105",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "10",
}