近藤类杂质的全息RG流
Holographic RG Flows for Kondo-like Impurities
摘要：
边界、缺陷和界面RG流，如著名的Kondo模型所示，在量子场论中起着重要的作用。详细研究了D1/D5 CFT中非共形超对称杂质的全息对偶。它的RG流与近藤模型有相似之处，尽管与近藤模型不同，CFT在全息机制中是强耦合的。我们研究的界面保持$d = 1$ $\mathcal{N} = 4$超对称性，并在UV和IR中流到共形不动点。界面的UV不动点由$d = 1$费米自由度描述，耦合到由ADHM构造引起的CFT目标空间上的规范连接。我们简要地讨论它的场论性质，然后将我们的重点转移到它的全息对偶。我们分析了这个接口RG流的超重力对偶，首先在探头的限制，然后包括重力反作用。在探针极限下，流动是通过Myers效应在内部$\mathsf{S}^3$上膨胀探针膜来实现的。我们进一步确定了与界面不动点对偶的反作用超引力位形。这些超重力解提供了缺陷自由度临界屏蔽的几何实现。这种临界筛选的产生方式类似于最初的近藤模型。我们计算的$g$ -因子都在探头膜近似和使用backreacted超重力解决方案，并表明，它减少从UV到IR所需的$g$ -定理。
英文摘要：
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.
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