论文标题
在4D QED中的u（1）u（1）不可逆转对称性上的测量
On anomalies and gauging of U(1) non-invertible symmetries in 4d QED
论文作者
论文摘要
在这项工作中，我们提出了一种促进异常的轴向u（1）转换为确切的不可逆转u（1）对称性的方法。我们讨论将不可固化的对称性耦合到（动态或背景）量规场的过程。我们表明，作为测量程序的一部分，对某些限制进行了施加，以使测量保持一致。约束自然而然地从不可固化的u（1）保守电流的形式出现。在动态测量值的情况下，这导致了我们称为不可固化仪表理论的新型规格理论：这些是仪表理论，具有取消可能的量规异常的其他约束。通过耦合到背景仪字段，我们可以讨论“不可换对象的T-Hooft异常”。我们在一个示例中表明，匹配条件成立，但它们以非常规的方式实现。即使在对称性未损坏并且背景非常薄弱的情况下，打开非固定量规场的非平凡背景也会改变真空。然后，新真空中的孤子的外观与异常相匹配。
In this work we propose a way to promote the anomalous axial U(1) transformations to exact non-invertible U(1) symmetries. We discuss the procedure of coupling the non-invertible symmetry to a (dynamical or background) gauge field. We show that as part of the gauging procedure, certain constraints are imposed to make the gauging consistent. The constraints emerge naturally from the form of the non-invertible U(1) conserved current. In the case of dynamical gauging, this results in new type of gauge theories we call non-invertible gauge theories: These are gauge theories with additional constraints that cancel the would-be gauge anomalies. By coupling to background gauge fields, we can discuss 't-Hooft anomalies of non-invertible symmetries. We show in an example that the matching conditions hold but they are realized in an unconventional way. Turning on non-trivial background for the non-invertible gauge field changes the vacuum even when the symmetry is not broken and the background is very weak. The anomalies are then matched by the appearance of solitons in the new vacuum.
