Fusing binary interface defects in topological phases: The Z/pZ case

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 fo...

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Bibliographic Details
Published in:Journal of mathematical physics 2019-12, Vol.60 (12)
Main Authors: Bridgeman, Jacob C., Barter, Daniel, Jones, Corey
Format: Article
Language:English
Subjects:
Defects
Domain walls
Physics
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Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5095941