论文标题
全息RG流动类似信息的杂质
Holographic RG Flows for Kondo-like Impurities
论文作者
论文摘要
由著名的近多模型举例说明的边界，缺陷和界面RG流在量子场理论中起着重要作用。我们详细研究了D1/D5 CFT中非符号超对称杂质的全息偶。它的RG流与近多模型具有相似性，尽管与Kondo模型不同，CFT在全息状态下强烈耦合。我们研究的界面保留$ d = 1 $ $ \ MATHCAL {n} = 4 $ supersymmetry and Flow to the UV和IR中的共形固定点。界面的紫外线固定点由$ d = 1 $ fermionic的自由度描述，并与ADHM构造引起的CFT目标空间的量规连接相结合。在将重点转移到全息双重二元之前，我们简要讨论其现场理论特性。我们分析了该接口RG流的超级二重要双重双重，首先是在探针极限中，然后包括引力反应。在探针限制中，通过Myers效应在内部$ \ Mathsf {s}^3 $上吹起探针括号来实现流程。我们进一步识别到接口固定点双重反应的超级重力配置。这些超级解决方案提供了对自由度缺陷程度的批判性筛查的几何实现。这种关键筛选以类似于原始的kondo模型的方式出现。我们在探针brane近似和使用反向反应的超级解决方案中计算出$ g $的factor，并表明它根据$ g $ - theorem的要求从紫外线降低到IR。
Boundary, defect, and interface RG flows, as exemplified by the famous Kondo model, play a significant role in the theory of quantum fields. We study in detail the holographic dual of a non-conformal supersymmetric impurity in the D1/D5 CFT. Its RG flow bears similarities to the Kondo model, although unlike the Kondo model the CFT is strongly coupled in the holographic regime. The interface we study preserves $d = 1$ $\mathcal{N} = 4$ supersymmetry and flows to conformal fixed points in both the UV and IR. The interface's UV fixed point is described by $d = 1$ fermionic degrees of freedom, coupled to a gauge connection on the CFT target space that is induced by the ADHM construction. We briefly discuss its field-theoretic properties before shifting our focus to its holographic dual. We analyze the supergravity dual of this interface RG flow, first in the probe limit and then including gravitational backreaction. In the probe limit, the flow is realized by the puffing up of probe branes on an internal $\mathsf{S}^3$ via the Myers effect. We further identify the backreacted supergravity configurations dual to the interface fixed points. These supergravity solutions provide a geometric realization of critical screening of the defect degrees of freedom. This critical screening arises in a way similar to the original Kondo model. We compute the $g$-factor both in the probe brane approximation and using backreacted supergravity solutions, and show that it decreases from the UV to the IR as required by the $g$-theorem.
