Generalized string-net model for unitary fusion categories without tetrahedral symmetry

  title={Generalized string-net model for unitary fusion categories without tetrahedral symmetry},
  author={Alexander J. Hahn and Ramona Wolf},
  journal={Physical Review B},
The Levin-Wen model of string-net condensation explains how topological phases emerge from the microscopic degrees of freedom of a physical system. However, the original construction is not applicable to all unitary fusion category since some additional symmetries for the $F$-symbols are imposed. In particular, the so-called tetrahedral symmetry is not fulfilled by many interesting unitary fusion categories. In this paper, we present a generalized construction of the Levin-Wen model for… 

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