论文标题

6D SCFT中全球U(1)的一般处方

General Prescription for Global U(1)'s in 6D SCFTs

论文作者

Apruzzi, Fabio, Fazzi, Marco, Heckman, Jonathan J., Rudelius, Tom, Zhang, Hao Y.

论文摘要

我们提出了一个一般处方,用于确定六维超符合场理论(6D SCFTS)的全局U(1)对称性。我们使用Tensor分支的Quiver样量规理论描述来识别可以对广义物质作用的候选u(1)对称性。这些候选u(1)不含Adler-Bell-Jackiw(ABJ)异常的条件为U(1)s提供了自下而上的约束。这与希格斯分支流动引起的对称破坏模式获得的答案一致。我们提供了许多示例,说明了该提案的细节。在这些理论的F理论实现中,其中一些对称性源于局部性分量上的非亚伯风味对称性的变形,而另一些则来自Mordell-Weil组的附加发生器。我们还提供了证据表明,其中一些全局u(1)并非源于量规对称性,就像采用耦合到六维超级重力的模型的脱钩极限时所发生的那样。

We present a general prescription for determining the global U(1) symmetries of six-dimensional superconformal field theories (6D SCFTs). We use the quiver-like gauge theory description of the tensor branch to identify candidate U(1) symmetries which can act on generalized matter. The condition that these candidate U(1)'s are free of Adler-Bell-Jackiw (ABJ) anomalies provides bottom-up constraints for U(1)'s. This agrees with the answer obtained from symmetry breaking patterns induced by Higgs branch flows. We provide numerous examples illustrating the details of this proposal. In the F-theory realization of these theories, some of these symmetries originate from deformations of non-abelian flavor symmetries localized on a component of the discriminant, while others come from an additional generator of the Mordell-Weil group. We also provide evidence that some of these global U(1)'s do not arise from gauge symmetries, as would happen in taking a decoupling limit of a model coupled to six-dimensional supergravity.

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