arXiv 1307.26912013-07-10hep-th

N=2超对称Yang-Mills理论的奇异结构

Singularity Structure of N=2 Supersymmetric Yang-Mills Theories: A Review

Jihye Sofia Seo

备注：: 45 pages, 19 figures, a version accepted by International Journal of Modern Physics A (IJMPA)

摘要：

在这篇评论中，我们考虑的情况下，电子，磁单极子，和双子成为无质量。本文考虑具有秩为r的经典规范群的${\cal N} = 2$超对称Yang-Mills（SYM）理论，SU（r+1），SO（2 r），Sp（2 r），SO（2 r +1）.这是研究黎曼曲面称为塞伯格-威滕曲线。讨论了与无质量粒子相关的物理奇异性，并利用超椭圆形式的黎曼曲面中消失1-圈的几何奇异性来研究。我们特别注意的情况下，相互非局域状态成为无质量（阿盖尔-道格拉斯理论），这对应于黎曼曲面退化成尖点。我们讨论了该理论的模空间上的非平凡拓扑，它反映为与消失1-圈相关的单值性。当我们在模空间中移动并通过奇点时，我们观察到双子电荷是如何变化的。

英文摘要：

In this review, we consider the case where electrons, magnetic monopoles, and dyons become massless. Here we consider the ${\cal N} = 2$ supersymmetric Yang-Mills (SYM) theories with classical gauge groups with a rank r, SU(r+1), SO(2r), Sp(2r), and SO(2r+1). which are studied by Riemann surfaces called Seiberg-Witten curves. We discuss physical singularity associated with massless particles, which can be studied by geometric singularity of vanishing 1-cycles in Riemann surfaces in hyperelliptic form. We pay particular attention to the cases where mutually non-local states become massless (Argyres-Douglas theories), which corresponds to Riemann surfaces degenerating into cusps. We discuss non-trivial topology on the moduli space of the theory, which is reflected as monodromy associated to vanishing 1-cycles. We observe how dyon charges get changed as we move around and through singularity in moduli space.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文