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We demonstrate that the recently announced signal for a stochasticgravitational wave background (SGWB) from pulsar timing array (PTA)observations, if attributed to new physics, is compatible with primordial GWproduction due to axion-gauge dynamics during inflation. More specifically wefind that axion-$U(1)$ models may lead to sufficient particle production toexplain the signal while simultaneously source some fraction of sub-solar massprimordial black holes (PBHs) as a signature. Moreover there is a parityviolation in GW sector, hence the model suggests chiral GW search as a concretetarget for future. We further analyze the axion-$SU(2)$ coupling signatures andfind that in the low/mild backreaction regime, it is incapable of producing PTAevidence and the tensor-to-scalar ratio is low at the peak, hence itoverproduces scalar perturbations and PBHs.

Axion-Gauge Dynamics During Inflation as the Origin of Pulsar Timing Array Signals and Primordial Black Holes