Calabi-Yau compactifications of the E8×E8 heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi-Yau space determines the overall matter content in the low-energy effective field theory, further details of the compactification geometry are needed to calculate the normalized physical couplings and masses of elementary particles. In this work, we present numerical computations of physical Yukawa couplings in a number of heterotic models in the standard embedding and demonstrate the existence of natural hierarchies, a coveted feature in string model building. Published by the American Physical Society 2025

中文翻译：

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精密弦现象学


E8×E8 异质串的 Calabi-Yau 压缩为恢复标准模型描述的四维粒子物理学提供了一条有前途的途径。虽然 Calabi-Yau 空间的拓扑结构决定了低能有效场论中的整体物质含量，但需要进一步详细地了解紧凑几何结构来计算基本粒子的归一化物理耦合和质量。在这项工作中，我们展示了标准嵌入中许多异质异质模型中物理 Yukawa 耦合的数值计算，并证明了自然层次结构的存在，这是弦模型构建中令人垂涎的功能。 美国物理学会 2025 年出版