Fusing Binary Interface Defects in Topological Phases: The Vec(Z/pZ)\operatorname{Vec}(\mathbb{Z}/p\mathbb{Z}) case

Oct 22, 2018
10 pages
Published in:
  • J.Math.Phys. 60 (2019) 12, 121701
  • Published: Dec 19, 2019
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Abstract: (AIP)
A binary interface defect is any interface between two (not necessarily invertible) domain walls. We compute all possible binary interface defects in Kitaev’s Z/pZ model and all possible fusions between them. Our methods can be applied to any Levin-Wen model. We also give physical interpretations for each of the defects in the Z/pZ model. These physical interpretations provide a new graphical calculus, which can be used to compute defect fusion.
Note:
  • 27+10 pages, 2+5 tables, comments welcome