Gauging U(1) symmetry in (2+1)d topological phases

  title={Gauging U(1) symmetry in (2+1)d topological phases},
  author={Meng Cheng and Chao-Ming Jian},
  journal={SciPost Physics},
We study the gauging of a global U(1) symmetry in a gapped system in (2+1)d. The gauging procedure has been well-understood for a finite global symmetry group, which leads to a new gapped phase with emergent gauge structure and can be described algebraically using the mathematical framework of modular tensor category (MTC). We develop a categorical description of U(1) gauging in a MTC, taking into account the dynamics of U(1) gauge field absent in the finite group case. When the ungauged system… 

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