• Corpus ID: 253761101

Higher-group symmetry in finite gauge theory and stabilizer codes

  title={Higher-group symmetry in finite gauge theory and stabilizer codes},
  author={Maissam Barkeshli and Yu-An Chen and Po-Shen Hsin and Ryohei Kobayashi},
A large class of gapped phases of matter can be described by topological finite group gauge theories. In this paper, we derive the d -group global symmetry and its ’t Hooft anomaly for topological finite group gauge theories in ( d +1) space-time dimensions, including non-Abelian gauge groups and Dijkgraaf-Witten twists. We focus on the 1-form symmetry generated by invertible (Abelian) magnetic defects and the higher-form symmetries generated by invertible topological defects decorated with lower… 

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