发表机构
Zhejiang Normal University; Khazar University; Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS); Institute of Theoretical Physics, Chinese Academy of Sciences; University of Chinese Academy of Sciences; Institute of High Energy Physics, Chinese Academy of Sciences; Kimyo International University in Tashkent; Harbin Institute of Technology（浙江师范大学; 阿塞拜疆大学; 俾路支信息技术、工程与管理科学大学; 中国科学院理论物理研究所; 中国科学院大学; 中国科学院高能物理研究所; 塔什干金尤国际大学; 哈尔滨工业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在SU(6)超对称331模型中，通过Kaehler框架函数局域化贡献产生非吸引子阶段，增强曲率谱，从而形成小行星质量原初黑洞并在3.17×10^-2 Hz产生可探测引力波信号。
AI 中文摘要
我们研究了基于SU(6)的超对称331模型中的原初黑洞和标量诱导引力波。暴胀子仍然是331对称性破缺场Phi和Phi-bar的D平坦径向组合，这些场已经能够解释CMB分支。一个规范不变且在Kaehler框架函数中局域化的贡献，使得爱因斯坦框架中的力在有限的场范围内减小，并导致一个临时的非吸引子阶段。我们计算了超引力势和径向度量，演化背景和Mukhanov-Sasaki模式，并评估了局域区域内的中性协变Hessian。CMB轨迹仍然与当前的观测约束一致，而曲率谱在k ~ 1.88 x 10^13 Mpc^-1时达到P_zeta ~ 5.38 x 10^-3的值。增强的谱导致质量与小行星相当的原初黑洞分布，并在频率3.17 x 10^-2 Hz处产生标量诱导引力波信号的最大值，Omega_GW,0 h^2 ~ 9.41 x 10^-11。局域几何还导致了灵敏度的明显层级。引力波谱在沿邻近轨迹移动时平滑变化，而原初黑洞分布的高斯尾部变化则快得多。中性横向Hessian的正特征值在整个参考轨迹上保持不变。高斯临界坍缩计算得出参考积分原初黑洞分数接近9.08 x 10^-3，而最近的非线性研究表明，在本文达到的标量功率下，稀有坍缩的统计会有显著修正。
英文摘要
We study primordial black holes and scalar-induced gravitational waves in the supersymmetric 331 model based on SU(6). The inflaton continues to be the D-flat radial combination of the 331 symmetry-breaking fields Phi and Phi-bar, fields which are already accountable for the CMB branch. A gauge-invariant contribution that is localised in the Kaehler frame function causes the force in the Einstein frame to decrease over a finite range of the field and results in a temporary nonattractor phase. We calculate the supergravity potential and the radial metric, evolve the background and the Mukhanov-Sasaki modes, and assess the neutral covariant Hessian along the local region. The CMB trajectory is still in agreement with the present observational constraints while the curvature spectrum attains a value of P_zeta ~ 5.38 x 10^-3 when k ~ 1.88 x 10^13 Mpc^-1. The enhanced spectrum leads to a primordial black hole distribution with a mass comparable to that of an asteroid and to a maximum in the scalar-induced gravitational wave signal at a frequency of 3.17 x 10^-2 Hz with Omega_GW,0 h^2 ~ 9.41 x 10^-11. The local geometry also results in a clear hierarchy of sensitivities. The gravitational wave spectrum changes smoothly as one moves along nearby trajectories whereas the Gaussian tail of the primordial black hole distribution changes much more rapidly. The positive eigenvalues of the neutral transverse Hessian remain throughout the reference trajectory. A Gaussian critical collapse calculation yields a reference integrated primordial black hole fraction of near 9.08 x 10^-3, while recent nonlinear studies suggest significant corrections to the statistics of rare collapses at the scalar power achieved here.
Comments12 pages, 8 figures
