论文标题
Chern-Simons不变性和异性超电势
Chern-Simons Invariants and Heterotic Superpotentials
论文作者
论文摘要
四维杂质有效理论中的超电势包含与紧凑几何形状相关的量规和切线束相关的全体形态Chern-simons引起的术语。这些影响对于该理论的许多关键特征至关重要，包括真空稳定性和模量稳定。尽管它们的重要性，但文献中很少有工具可以在给定的异性真空中计算这种影响。在这项工作中，我们提出了新的技术，以明确确定异源弦线紧凑型中的全体形态切尔尼·西蒙斯。我们计算中的关键技术成分是仪表和切线束之间的真实捆绑形态。我们发现，除了标准嵌入之外，还有大量的示例，Chern-Simons超电势消失。我们还提供了非平板捆绑包的明确示例，在该捆绑包中，它是非捕捞和分数量化的，这是威尔逊线的先前结果。
The superpotential in four-dimensional heterotic effective theories contains terms arising from holomorphic Chern-Simons invariants associated to the gauge and tangent bundles of the compactification geometry. These effects are crucial for a number of key features of the theory, including vacuum stability and moduli stabilization. Despite their importance, few tools exist in the literature to compute such effects in a given heterotic vacuum. In this work we present new techniques to explicitly determine holomorphic Chern-Simons invariants in heterotic string compactifications. The key technical ingredient in our computations are real bundle morphisms between the gauge and tangent bundles. We find that there are large classes of examples, beyond the standard embedding, where the Chern-Simons superpotential vanishes. We also provide explicit examples for non-flat bundles where it is non-vanishing and fractionally quantized, generalizing previous results for Wilson lines.
