论文标题
分解，动作效果对称性和拓扑操作员
Decomposition, Trivially-Acting Symmetries, and Topological Operators
论文作者
论文摘要
二维形成综合场理论中的琐碎作用对称性包括零尺寸的扭曲场，即局部拓扑操作员。我们研究了这些操作员的后果，这是该理论全球对称性的一部分。也就是说，我们将这种对称性视为拓扑缺陷线（TDL）和拓扑点算子（TPO）的混合。通过琐碎作用对称性相关的TDL可以在TPO上加入以形成非平凡的双向连接。计量后，这些交界处的当地运营商可以成为脱节的理论结合。因此，检查测量值下的TPO的行为使我们能够通过跟踪每个宇宙的琐碎作用对称性来完善分解。 TDL和TPO之间的混合异常为这些Orbifolds的分区功能提供了离散的扭转样相，从而修改了所得的分解。该框架还易于考虑琐碎的无可逆对称性。
Trivially-acting symmetries in two-dimensional conformal field theory include twist fields of dimension zero which are local topological operators. We investigate the consequences of regarding these operators as part of the global symmetry of the theory. That is, we regard such a symmetry as a mix of topological defect lines (TDLs) and topological point operators (TPOs). TDLs related by a trivially-acting symmetry can join at a TPO to form non-trivial two-way junctions. Upon gauging, the local operators at those junctions can become vacua in a disjoint union of theories. Examining the behavior of the TPOs under gauging therefore allows us to refine decomposition by tracking the trivially-acting symmetries of each universe. Mixed anomalies between the TDLs and TPOs provide discrete torsion-like phases for the partition functions of these orbifolds, modifying the resulting decomposition. This framework also readily allows for the consideration of trivially-acting non-invertible symmetries.
