论文标题
异常流入和全息图
Anomaly Inflow and Holography
论文作者
论文摘要
我们以五维抗De保姆时空的切片（$ \ text {ads} _5 $）的切片系统地研究了批量Chern-Simons（CS）理论的异常流入。紫外线和IR 3-抗的引入使异常故事非常丰富，并且可以获得许多有趣的方面，包括弱测量和自发对称性破坏了双4D CFT的全球对称性。我们的主要贡献是为该主题提供统一和全面的讨论，并详细描述每种情况的双重CFT图片。 Employing a gauge-fixed effective action suitable for a holographic study, we reproduce many known results in the literature, such as 't Hooft anomaly matching for unbroken symmetry (Neumann IR-BC) and (gauged) Wess-Zumino-Witten (WZW) action for broken symmetry (IR-BC breaks the bulk group $G \to H$).此外，我们表明，ABJ异常发生异常匹配以及't Hooft异常，这表明从大量CS理论中流动异常，必然没有混合异常与4D Dual CFT的限值仪强力。在对称性损坏的情况下，我们证明，与弱测量对称性相关的“可能”戈德石玻色子将通过适当的场重新定义完全消除，只要散装的异常被边界贡献完全取消，从而确认了标准期望。此外，我们提出了Witten关于WZW动作量化条件的论点的全息表述，并主张使用“变形”理论（不同的BCS）获得相同条件的替代方法。我们制定了几个示例，包括一个具有混合异常的产品组，并确定相应的双CFT图片。我们认为通常在动态电动对称性破坏的情况下出现的完全一般情况。
We systematically study the anomaly inflow by the bulk Chern-Simons (CS) theory in a slice of five-dimensional anti-de Sitter spacetime ($\text{AdS}_5$). The introduction of UV and IR 3-branes makes the anomaly story remarkably rich and many interesting aspects can be obtained, including weakly gauging and spontaneous symmetry breaking of the global symmetries of the dual 4D CFT. Our main contribution is to provide a unified and comprehensive discussion of the subject, together with a detailed description of the dual CFT picture for each case. Employing a gauge-fixed effective action suitable for a holographic study, we reproduce many known results in the literature, such as 't Hooft anomaly matching for unbroken symmetry (Neumann IR-BC) and (gauged) Wess-Zumino-Witten (WZW) action for broken symmetry (IR-BC breaks the bulk group $G \to H$). In addition, we show that anomaly matching occurs for ABJ anomalies as well as 't Hooft anomalies, which suggests anomalies inflowed from the bulk CS theory are necessarily free of mixed anomalies with the confining gauge force of the 4D dual CFT. In the case of broken symmetry, we prove that the "would-be" Goldstone bosons associated with the weakly gauged symmetry are completely removed by a proper field redefinition, provided the anomaly from the bulk is exactly cancelled by the boundary contribution, hence confirming the standard expectation. Moreover, we present a holographic formulation of Witten's argument for the quantization condition for the WZW action, and argue in favor of an alternative way to obtain the same condition using a "deformed" theory (different BCs). We work out several examples, including a product group with mixed anomaly, and identify the corresponding dual CFT picture. We consider a fully general case typically arising in the context of dynamical electroweak symmetry breaking.
