Induced gravitational waves via warm natural inflation

We analyze the spectrum of gravitational waves generated by the induced spectrum of tensor fluctuation during warm natural inflation. In our previous work, it has been demonstrated that an epoch of warm natural inflation can lead to cosmologically relevant dark matter production in the form of primordial black holes. Here, we show that models that solve the dark-matter production also produce a contribution to the cosmic gravitational wave background that satisfies current constraints from pulsar timing and big bang nucleosynthesis. More importantly, this gravitational wave background may be observable in the next generation of space-based and ground-based gravitational wave interferometers.