论文标题
通过ADS/CFT中的电磁二元性，广义对称性和2组
Generalized symmetries and 2-groups via electromagnetic duality in AdS/CFT
论文作者
论文摘要
我们讨论了电磁如何将1形式偶联到ADS $ _5 $中的2形式的规则和替代边界条件中，从而衡量了双场理论中最初的全局$ u（1）$对称性。总体中2型的广义对称电流双重二元被确定为测量$ u（1）$的双场强度，并且具有对数耦合的相关的双轨操作员只是$ u（1）$ maxwell Action。将这种双重化应用于ADS Maxwell-Chern-Simons理论偶对偶上的全局$ U（1）\ Times U（1）$模型，具有'T HOFOFT异常的模型导致具有修改的田间强度的理论，该理论实际上可以实现2组对称性。我们明确执行全息重新归一化以验证这一点，并在其他维度中讨论对其他等级领域的概括。
We discuss how electromagnetically dualizing a 1-form to a 2-form in AdS$_5$ exchanges regular and alternate boundary conditions, and thus gauges the originally global $U(1)$ symmetry in the dual field theory. The generalized symmetry current dual to the 2-form in the bulk is identified as the dual field strength of the gauged $U(1)$, and the associated double-trace operator with a logarithmically running coupling is just the gauged $U(1)$ Maxwell action. Applying this dualization to an AdS Maxwell-Chern-Simons theory dual to a global $U(1) \times U(1)$ model with an 't Hooft anomaly results in a theory with a modified field strength that holographically realizes a 2-group symmetry. We explicitly carry out the holographic renormalization to verify this, and discuss the generalization to other rank fields in other dimensions.
