We explicitly analyze O ( α ′ ) corrections to heterotic supergravity on toroidal orbifolds and their resolutions, which play important roles in string phenomenology as well as moduli stabilization. Using a conformal factor ansatz that is valid only for four-dimensional geometries, we obtain a closed expression for the O ( α ′ ) metric corrections in the case of several orbifold limits of K3, namely T 4 / Z n where n = 2 , 3, 4, 6. However, we find that nonstandard embedding requires the inclusion of five-branes on such orbifolds. We also numerically investigate the behavior around orbifold fixed points by considering the metric correction on the resolution of a C 2 / Z 2 singularity. In this case, a nontrivial conformal factor can be obtained in nonstandard embedding even without five-branes. In the same manner, we generalize our analysis to study metric corrections on T 6 / Z 3 and its resolution described by a complex line bundle over CP 2 . Further prospects of utilizing these O ( α ′ ) corrected metrics as a novel approach in obtaining realistic or semirealistic Yukawa couplings are discussed.
展开▼
机译：我们明确地分析了在环形球体上的O（α′）对超重力异常的校正及其分辨率，这些校正在弦学现象学以及模量稳定中起着重要作用。使用仅对四维几何形状有效的共形因子ansatz，我们在K3的多个折线极限（即T 4 / Z n，其中n = 2）的情况下，获得了O（α'）度量校正的闭合表达式。 3、4、6。但是，我们发现非标准嵌入要求在此类球面上包含五种大脑。我们还通过考虑对C 2 / Z 2奇异点的分辨率进行度量校正来数值研究绕固定点的行为。在这种情况下，即使不使用五核也可以在非标准嵌入中获得非平凡的保形因子。以相同的方式，我们将我们的分析推广到研究T 6 / Z 3的度量校正及其在CP 2上由复杂线束描述的分辨率。讨论了利用这些O（α'）校正量度作为获得现实或半现实的Yukawa耦合的新方法的进一步前景。
展开▼
