We investigate the effects of logarithmic corrections to the minimal Kähler potential in supergravity. They provide a constant Fayet–Iliopoulos term, but can induce singularities in the “F-term” scalar potential. If a proper superpotential is supplemented, such singularities can be avoided at the minimum of the scalar potential and the relevant U(1) gauge symmetry as well as supersymmetry can be broken. We apply this mechanism to a D-term hybrid inflationary model such that the U(1) gauge symmetry is broken during the inflation era and the resultant cosmic strings are diluted away. We employ a non-minimal form of the gauge kinetic function that includes an inflaton’s contribution such that the spectral index in the minimal D-term inflationary model is cured to the observed value. The tensor-to-scalar ratio is extremely small.

我们研究了对数修正对超重力中最小 Kähler 势能的影响。它们提供恒定的 Fayet-Iliopoulos 项，但可以在“ F项”标量势中引起奇点。如果补充适当的超势，可以在标量势的最小值处避免这种奇点，并且可以打破相关的 U(1) 规范对称性和超对称性。我们将此机制应用于D项混合暴胀模型，使得 U(1) 规范对称性在暴胀时代被打破，由此产生的宇宙弦被稀释掉。我们采用了规范动力学函数的非最小形式，其中包括暴胀子的贡献，使得最小D中的谱指数-term通胀模型被固化为观察值。张量与标量之比非常小。