论文标题
在$ {\ Mathcal n} = 4 $ yang-mills理论的BPS字符串上
On BPS Strings in ${\mathcal N}=4$ Yang-Mills Theory
论文作者
论文摘要
我们研究了$ {{{\ Mathcal n} = 4} $ supersymmmetric Yang-Mills理论的ABELIAN领域中的单一时间依赖性$ \ frac {1} {8} $ - BPS配置，该理论代表BPS字符串的缺陷为$ {{\ MathBB R} {\ MathBB R} \ times times s^$ spac $ spac $ spac $ spac。这样的BPS字符串可以描述为在两个具有3个球体的复杂变量中，全态函数的零相交。我们认为，这些BPS字符串映射到$ \ frac {1} {8} $ - BPS表面运算符在CFT的状态操作员通信下。我们表明，在全球$ ads_5 \ times s^5 $中，弦缺损在全球二抗d3烧伤上是双重双重探针d3-branes，它们与一类双重巨型重力共享超对称性。对于简单的配置，我们演示了如何定义一个良好的变分问题并提出一种正则化方案，该方案会导致全息相应的两侧的有限能量和全球电荷。
We study singular time-dependent $\frac{1}{8}$-BPS configurations in the abelian sector of ${{\mathcal N}= 4}$ supersymmetric Yang-Mills theory that represent BPS string-like defects in ${{\mathbb R}\times S^3}$ spacetime. Such BPS strings can be described as intersections of the zeros of holomorphic functions in two complex variables with a 3-sphere. We argue that these BPS strings map to $\frac{1}{8}$-BPS surface operators under the state-operator correspondence of the CFT. We show that the string defects are holographically dual to noncompact probe D3-branes in global $AdS_5\times S^5$ that share supersymmetries with a class of dual-giant gravitons. For simple configurations, we demonstrate how to define a good variational problem and propose a regularization scheme that leads to finite energy and global charges on both sides of the holographic correspondence.
