Warm multi natural inflation

Multi-natural inflation is studied in the context of warm inflation. We study the warm multi-natural inflation scenario with both linear and cubic temperature-dependent dissipation coefficients. The model is motivated by axion-like inflation models with coupling to non-Abelian gauge fields through a dimension-five coupling and dissipation originating from sphaleron decay in a thermal bath. Both cases of dissipation coefficients can be compatible with current observations. In the case of the cubic dissipation coefficient, we find that the curvature perturbation starts to grow suddenly when a transition from a weak dissipation to a strong dissipation regime occurs at the later stage of the inflation. We also show that such rapid growth of the curvature perturbation on small scales gives rise to abundant scalar induced gravitational waves, which may be detectable with future gravitational wave detectors such as DECIGO and ET. On the other hand, there are also other parameter regions of the model, in the warm inflation regime of weak to strong dissipation and with sub-Planckian axion decay constant, that can lead to overproduction of primordial black holes on small scales, which are constrained by nucleosynthesis bounds, thus ruling out the model in this region of parameters.