In this paper, we examine the viability of inflation models with a spectator axion field coupled to both gravitational and SU(2) gauge fields via Chern-Simons couplings. Requiring phenomenological success of the axion-SU(2) sector constrains the coupling strength of the gravitational Chern-Simons term. We find that the impact of this term on the production and propagation of gravitational waves can be as large as fifty percent enhancement for the helicity that is not sourced by the gauge field, if the cut-off scale is as low as $\Lambda$ = 20H. The effect becomes smaller for a larger value of $\Lambda$, while the impact on the helicity sourced by the gauge field is negligible regardless of $\Lambda$.

中文翻译：

---

Axion-SU(2) 暴胀期间重力陈-西蒙斯的影响

在本文中，我们通过 Chern-Simons 耦合与引力场和 SU(2) 规范场耦合的观众轴子场来检验暴胀模型的可行性。轴子-SU(2) 扇区的现象学成功限制了引力陈-西蒙斯项的耦合强度。我们发现，如果截止尺度低至 $\Lambda$，该术语对引力波产生和传播的影响对于非规范场来源的螺旋度可以提高 50% = 20 小时。$\Lambda$ 的值越大，效果越小，而无论 $\Lambda$ 是多少，对规范场来源的螺旋度的影响都可以忽略不计。