论文标题
分数晶体的表面缺陷 - i
Surface Defects from Fractional Branes -- I
论文作者
论文摘要
我们表明，通过考虑Kanno-Tachikawa类型的Orbifold背景，可以在扰动的弦理论中实现Supermmetric Yang-Mills理论的Gukov-witten单片缺陷，并在其世界内部沿Orbifold Directions部分扩展了Kanno-Tachikawa类型的Orbifold背景。特别是，我们表明，在封闭的字符串扭曲扇区中某些标量字段的恒定背景价值引起了量规场的非平凡曲线，并且是世界体积理论的复杂标量之一，并且这种配置与$ \ nathcal的gukov-witter表面缺陷所期望的奇异行为完全匹配，而$ \ nathcal calcal calcal calcal {n $ yangy {n $ space {n $ space} = 4 $ yang yang} = 4 $ yang。为了使演示尽可能简单，在这项工作中，我们将分析限制为对应于$ \ mathbb {z} _2 $ orbifold的表面缺陷，并将最一般情况的研究推迟到同伴论文中。
We show that the Gukov-Witten monodromy defects of supersymmetric Yang-Mills theory can be realized in perturbative string theory by considering an orbifold background of the Kanno-Tachikawa type and placing stacks of fractional D3-branes whose world-volume partially extends along the orbifold directions. In particular, we show that turning on a constant background value for some scalar fields in the closed string twisted sectors induces a non-trivial profile for the gauge field and one of the complex scalars of the world-volume theory, and that this profile exactly matches the singular behavior that one expects for a Gukov-Witten surface defect in the $\mathcal{N}=4$ super Yang-Mills theory. To keep the presentation as simple as possible, in this work we restrict our analysis to surface defects corresponding to a $\mathbb{Z}_2$ orbifold and defer the study of the most general case to a companion paper.
