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Gauge-flation, non-Abelian gauge field inflation, which was introduced in [1] and analyzed more
thoroughly in [2], is a model of inflation driven by non-Abelian gauge fields minimally coupled to
Einstein gravity. In this model certain rotationally invariant combination of gauge fields play the role
of inflaton. Recently, the chromo-natural inflation model was proposed [3] which besides the non-
Abelian gauge fields also involve an axion field. In this short note we show that the model involving
axions, indeed allows for various slow-roll trajectories for different values of its parameters: A specific
trajectory discussed in [3] starts from a " small axion " region, while the trajectory considered in [1, 2]
corresponds to a " large axion " region.
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