Higgs 分支上 B 型反常的（不）匹配
(Mis-)Matching Type-B Anomalies on the Higgs Branch
AI总结：
本文研究 4D N=2 SCFT 中 Higgs 分支上 Coulomb 分支算符的 B 型共形反常，通过弱耦合多圈 Feynman 图计算支持其普遍匹配猜想，并指出潜在不匹配将暗示共形流形存在第二个协变常度规。
摘要：
基于 arXiv:1911.05827，我们揭示了 4D N=2 SCFT 连续族中 Coulomb 分支算符的 B 型共形反常的新性质。我们研究了 Higgs 分支上一大类此类反常（此处共形对称性自发破缺），并将其与 CFT 相中的对应项进行比较。在 Lagrangian 理论中，反常的非微扰匹配可通过涉及质量多圈 banana 积分的弱耦合 Feynman 图计算确定，我们提取了与所关注反常对应的部分。计算支持如下一般猜想：Coulomb 分支 B 型共形反常在 Higgs 分支上始终匹配。另一方面，我们论证反常的潜在不匹配意味着共形流形上存在除 Zamolodchikov 度规之外的第二个协变常度规，这将对其和乐群施加限制。
英文摘要：
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.
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