The effective field theory of heterotic vacua that realise preserving $$\mathcal {N}{=}1$$N=1 supersymmetry is studied. The vacua in question admit large radius limits taking the form , with a smooth threefold with vanishing first Chern class and a stable holomorphic gauge bundle . In a previous paper we calculated the kinetic terms for moduli, deducing the moduli metric and Kähler potential. In this paper, we compute the remaining couplings in the effective field theory, correct to first order in $${\alpha ^{\backprime }\,}$$α‵. In particular, we compute the contribution of the matter sector to the Kähler potential and derive the Yukawa couplings and other quadratic fermionic couplings. From this we write down a Kähler potential and superpotential .

中文翻译：

---

杂种优势真空的有效场理论

研究了实现保持$$\mathcal {N}{=}1$$N=1 超对称性的杂种优势真空有效场论。有问题的真空允许大半径极限的形式，平滑的三重，消失的第一陈类和稳定的全纯规范丛。在之前的一篇论文中，我们计算了模量的动力学项，推导出了模量度量和 Kähler 势。在本文中，我们计算了有效场论中的剩余耦合，校正到 $${\alpha ^{\backprime }\,}$$α‵ 中的一阶。特别是，我们计算了物质部门对 Kähler 势的贡献，并推导出 Yukawa 耦合和其他二次费米子耦合。由此我们写下 Kähler 势和超势。