论文标题
（MIS-）HIGGS分支上的匹配型B异常
(Mis-)Matching Type-B Anomalies on the Higgs Branch
论文作者
论文摘要
在ARXIV上建立建筑：1911.05827，我们发现了连续4D $ \ Mathcal {n} = 2 $ scfts的连续家庭中库仑分支运营商的新属性。我们在Higgs分支上研究了一大批此类异常，在该分支中，共形对称性自发断裂，并将它们与CFT相中的对应物进行比较。在Lagrangian理论中，可以通过弱耦合Feynman图计算来确定异常的非扰动匹配，该计算涉及大量的多环香蕉积分。我们提取与感兴趣异常相对应的部分。我们的计算支持了一个普遍的猜想，即库仑 - B型B形异常在HIGGS分支上始终匹配。另一方面，我们认为，异常的潜在不匹配意味着存在第二个协变量在保形的歧管上（Zamolodchikov Metric除外），这将对其自律组施加限制。
Building on arXiv:1911.05827, we uncover new properties of type-B conformal anomalies for Coulomb-branch operators in continuous families of 4D $\mathcal{N}=2$ SCFTs. We study a large class of such anomalies on the Higgs branch, where conformal symmetry is spontaneously broken, and compare them with their counterpart in the CFT phase. In Lagrangian theories, the non-perturbative matching of the anomalies can be determined with a weak coupling Feynman diagram computation involving massive multi-loop banana integrals. We extract the part corresponding to the anomalies of interest. Our calculations support the general conjecture that the Coulomb-branch type-B conformal anomalies always match on the Higgs branch. On the other hand, we argue that the potential mismatch of anomalies implies the existence of a second covariantly constant metric on the conformal manifold (other than the Zamolodchikov metric), which would impose restrictions on its holonomy group.
