• Corpus ID: 248693363

Non-invertible Global Symmetries in the Standard Model

  title={Non-invertible Global Symmetries in the Standard Model},
  author={Yichul Choi and Ho Tat Lam and Shu-Heng Shao},
We identify infinitely many non-invertible generalized global symmetries in QED and QCD for the real world in the massless limit. In QED, while there is no conserved Noether current for the U (1) A axial symmetry because of the ABJ anomaly, for every rational angle 2 πp/N , we construct a conserved and gauge-invariant topological symmetry operator. Intu-itively, it is a composition of the axial rotation and a fractional quantum Hall state coupled to the electromagnetic U (1) gauge field. These… 
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