标题： 从Weyl引力中破坏的非紧致对称性产生的极化膨胀 显示英文标题

标题： The pole inflation from broken non-compact isometry in Weyl gravity

摘要： 我们提出从Weyl引力中破坏的非紧致等距标量场的微观起源。 我们表明，场空间中的$SO(1,N)$等距与Weyl对称性结合，将非最小耦合的形式与Jordan框架中势能的形式联系起来。 在势能系数中存在$SO(1,N)$对称性的显式破坏时，我们在暴胀子动能项的极点附近实现了极点暴胀。 将我们的结果应用于希格斯或PQ暴胀模型，我们发现极点暴胀存在一个参数族的解，这取决于标量场的Weyl协变导数的整体系数。 同一系数不仅使极点暴胀的预测变化，与普朗克数据相容，还决定了Weyl规范场的质量。 我们还表明，在PQ极点暴胀期间，轴子的等曲率扰动可以被充分抑制，而在再加热过程中产生的大质量Weyl规范场可作为暗物质候选者。 显示英文摘要

摘要： We propose the microscopic origin of the pole inflation from the scalar fields of broken non-compact isometry in Weyl gravity. We show that the $SO(1,N)$ isometry in the field space in combination with the Weyl symmetry relates the form of the non-minimal couplings to the one of the potential in the Jordan frame. In the presence of an explicit breaking of the $SO(1,N)$ symmetry in the coefficient of the potential, we realize the pole inflation near the pole of the inflaton kinetic term. Applying our results to the Higgs or PQ inflation models, we find that there is one parameter family of the solutions for the pole inflation, depending on the overall coefficient of the Weyl covariant derivatives for scalar fields. The same coefficient not only makes the predictions of the pole inflation varying, being compatible with the Planck data, but also determines the mass of the Weyl gauge field. We also show that the isocurvature perturbations of the axion can be suppressed sufficiently during the PQ pole inflation, and the massive Weyl gauge field produced during reheating serves as a dark matter candidate.