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arXiv · 2110.03228

SU($N$)-natural inflation

Tomohiro Fujita·Kyohei Mukaida·Kai Murai·Hiromasa Nakatsuka
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Abstract

We study SU($N$) gauge fields that couple to the inflaton through the Chern-Simons term. We provide a general procedure to construct homogeneous, isotropic, and attractor solutions of the gauge fields during inflation. The gauge fields develop various VEVs 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 also numerically solve the gauge field dynamics and confirm that our analytic solutions are complete and attractor. It is straightforward to apply our procedure to the other simple Lie groups.

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Tomohiro Fujita, Kyohei Mukaida, Kai Murai, Hiromasa Nakatsuka. 2022-05-19. SU($N$)-natural inflation. https://doi.org/10.1103/physrevd.105.103519

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