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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Published in:Journal of mathematical physics 2019-12, Vol.60 (12)
Main Authors: Bridgeman, Jacob C., Barter, Daniel, Jones, Corey
Format: Article
Language:English
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Defects
Domain walls
Physics
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description 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.
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source American Institute of Physics (AIP) Publications; American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
subjects Defects
Domain walls
Physics
title Fusing binary interface defects in topological phases: The Z/pZ case
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