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

Jacob C. Bridgeman; Daniel Barter; Corey Jones

doi:10.1063/1.5095941

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

Jacob C. Bridgeman, Daniel Barter, Corey Jones

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9 Citations (Scopus)

Abstract

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.

Original language	English
Article number	Y
Journal	Journal of Mathematical Physics
Volume	60
Issue number	12
DOIs	https://doi.org/10.1063/1.5095941
Publication status	Published - 1 Dec 2019

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abstract = "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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Fusing binary interface defects in topological phases: The Z/p Z case

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