论文标题
dilaton轴和PBHS和GWS通货膨胀
Dilaton-Axion Inflation with PBHs and GWs
论文作者
论文摘要
我们讨论了两阶段的DiLaton轴膨胀模型[1]，并描述具有指数或多项式方法的高原方法的$α$ a-aftractor模型。我们实施了[2]中提出的原始黑洞生产的模型之一，并开发其超级重力版本。从其多项式吸引子属性中对该模型的预测为：$ n_s $和$ r $是$α$非依赖性的，$ r $取决于质量参数$μ$定义了高原方法。通货膨胀两个阶段之间的过渡点的速度不稳定性与双曲空间的负曲率$ \ MATHCAL {R} _K = -2/3α$成正比。因此，在该模型中，原始黑洞（PBHS）的质量和小规模重力波（GWS）的频率显示出对$α$的显着依赖性。
We discuss two-stage dilaton-axion inflation models [1] and describe $α$-attractor models with either exponential or polynomial approach to the plateau. We implement one of the models of primordial black hole production proposed in [2] in the $α$-attractor context, and develop its supergravity version. The predictions of this model following from its polynomial attractor properties are: $n_s$ and $r$ are $α$-independent, $r$ depends on the mass parameter $μ$ defining the approach to the plateau. The tachyonic instability at the transition point between the two stages of inflation is proportional to the negative curvature of the hyperbolic space $\mathcal{R}_K=-2/3α$. Therefore the masses of primordial black holes (PBHs) and the frequencies of small-scale gravitational waves (GWs) in this model show significant dependence on $α$.
