论文标题
自动马鞍和5D BPS箭
Holonomy Saddles and 5d BPS Quivers
论文作者
论文摘要
我们研究了5d $ {\ cal n} = 1 $ pure yang-mills理论的Seberg-witten几何形状。自动鞍的概念意味着，从单个5D理论中进行互动的seiberg-witten理论存在多个4D限制，我们在最简单的纯$ su（n）$理论的情况下探讨了这一点。紧凑型导致$ n $副本的本地不可分割的4D纯$ su（n）$ seiberg-witten理论在红外线中，以Chern-Simons级别规定的方式粘合在一起。我们展示了这张照片自然构建5D BPS震颤的方式，该震颤与先前通过几何设计的本地Calabi-Yau提出的D0探针动力学相一致。我们通过详细查看各个光谱曲线来制定各种$ su（2）$（2）$（2）$（3）$（3）$。我们还注意到了一个特殊的$ \ mathbb {z} _ {2n} $特征$ su（n）_n $频谱曲线和由此产生的BPS Quivers，重点是如何影响4D自动鞍。
We study the Seberg-Witten geometry of 5d ${\cal N}=1$ pure Yang-Mills theories compactified on a circle. The concept of the holonomy saddle implies that there are multiple 4d limits of interacting Seiberg-Witten theories from a single 5d theory, and we explore this in the simplest case of pure $SU(N)$ theories. The compactification leads to $N$ copies of locally indistinguishable 4d pure $SU(N)$ Seiberg-Witten theories in the infrared, glued together in a manner dictated by the Chern-Simons level. We show how this picture naturally builds the 5d BPS quivers which agree with the D0 probe dynamics previously proposed via the geometrically engineered local Calabi-Yau. We work out various $SU(2)$ and $SU(3)$ examples through a detailed look at the respective spectral curves. We also note a special $\mathbb{Z}_{2N}$ feature of $SU(N)_N$ spectral curves and the resulting BPS quivers, with emphasis on how the 4d holonomy saddles are affected.
