大复结构边界附近的通量真空
Flux Vacua Near the Boundary of Large Complex Structure
AI总结：
研究IIB型弦紧致化中三形式通量为复结构模产生的势，给出大复结构边界附近真空例子，分析通量真空系综，发现势最小值由微扰和首个瞬子修正决定，此现象常见且有更微妙的瞬子项影响。
AI中文摘要：
在卡拉比-丘三维流形上的IIB型弦紧致化中，三形式通量为复结构模产生一个势。在大复结构区域，该势由微扰贡献和瞬子修正的收敛级数组成。我们给出大复结构边界附近的真空例子，其中势的最小值基本上由微扰贡献和首个瞬子修正决定，而所有更高阶瞬子的影响可忽略。当通量使得模空间中某些方向上微扰势的大小与首个瞬子贡献相当时会出现这种现象。分析通量真空系综，我们发现这种现象在统计上相当普遍。我们还发现了更微妙的现象，即瞬子项影响解的多重性并引起单值性移动。
英文摘要：
Three-form fluxes generate a potential for the complex structure moduli in type IIB string compactifications on Calabi-Yau threefolds. In the large complex structure patch, the potential consists of a perturbative contribution and a convergent series of instanton corrections. We present examples of vacua near the boundary of large complex structure, where the minimum of the potential is essentially determined by the perturbative contribution and the first instanton correction, while the effect of all higher instantons is negligible. This phenomenon occurs when fluxes are such that the magnitude of the perturbative potential in certain directions in moduli space is of the same size as the first instanton contribution. Analysing an ensemble of flux vacua, we find that this phenomenon is statistically quite common. We also discover more subtle phenomena where instanton terms affect the multiplicity of the solutions and induce monodromy shifts.
