论文标题

五个维度的激体,对称和异常

Instantons, Symmetries and Anomalies in Five Dimensions

论文作者

Genolini, Pietro Benetti, Tizzano, Luigi

论文摘要

所有五维非亚伯利亚仪表理论都有$ u(1)_i $ $ $全局对称性与激体粒子相关。我们描述了将$ u(1)_i $耦合到经典背景量规场的障碍物,该轨迹在理论具有单一形式的中心对称性时就会发生。这是两个对称性之间的有限级混合'theboft'。我们还表明,通过研究普通风味对称性的扭曲捆绑包,具有基本物质的量规理论也发生了类似的障碍。我们探讨了异常所隐含的候选阶段的一些一般动力学特性。最后,我们将结果应用于五个维度的超对称规格理论,并分析在其猜想的RG固定点处发生的对称增强模式。

All five-dimensional non-abelian gauge theories have a $U(1)_I$ global symmetry associated with instantonic particles. We describe an obstruction to coupling $U(1)_I$ to a classical background gauge field that occurs whenever the theory has a one-form center symmetry. This is a finite-order mixed 't Hooft anomaly between the two symmetries. We also show that a similar obstruction takes place in gauge theories with fundamental matter by studying twisted bundles for the ordinary flavor symmetry. We explore some general dynamical properties of the candidate phases implied by the anomaly. Finally, we apply our results to supersymmetric gauge theories in five dimensions and analyze the symmetry enhancement patterns occurring at their conjectured RG fixed points.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源