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

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

Oct 22, 2018

10 pages

Published in:

J.Math.Phys. 60 (2019) 12, 121701

Published: Dec 19, 2019

e-Print:

1810.09469 [math.QA]

DOI:

10.1063/1.5095941 (publication)

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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

References(85)

Figures(0)

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