The general potential of power-law inflation is as V (ϕ) ∝ ϕn with scalar field ϕ. The behavior of inflation is often known as power-law expansion like S(η) ∝ η1+β with 1 + β < 0. In this paper, the theoretical spectra of relic gravitational waves are compared with the measured strain sensitivity of Advanced LIGO and VIRGO, corresponding to the latest detected events of gravitational waves. The results show tight constraints on β and n. Also, the obtained constraints indicate that special types of the potential of inflation, prototype, and KKLTI models, which are originated from string theory, may be good candidates for potential of inflation. Also these results may emphasize the evidence of stochastic GWs that originated from inflation based on 12:5-year pulsar timing data set of North American Nanohertz Observatory for GWs.

中文翻译：

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最新探测到的引力波事件是否支持某些基于弦理论的暴胀模型？

幂律膨胀的一般潜力为五 (φ) ∝ φn带有标量场φ. 通货膨胀的行为通常被称为幂律扩展，如小号(η) ∝ η1+β和1 + β < 0. 本文将遗迹引力波的理论光谱与 Advanced LIGO 和 VIRGO 测量的应变灵敏度进行了比较，对应于最新探测到的引力波事件。结果显示严格的约束β和n. 此外，所获得的约束表明，源自弦理论的特殊类型的暴胀势、原型和 KKLTI 模型可能是暴胀势的良好候选者。此外，这些结果可能强调了基于北美纳赫兹观测站 GWs 的 12:5 年脉冲星计时数据集的膨胀产生的随机 GWs 的证据。