The Double Semion State in Infinite Volume
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We describe in a simple setting how to extract a braided tensor category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding to abelian anyons. We extract from this category its fusion ring as well as its F and R-symbols. We then construct the double semion state in infinite volume and extract the braided tensor category describing its semion, anti-semion, and bound state excitations. We verify that this category is equivalent to the representation category of the twisted quantum double Dϕ(Z2).
Original language | English |
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Journal | Annales Henri Poincare |
ISSN | 1424-0637 |
DOIs | |
Publication status | E-pub ahead of print - 2024 |
Bibliographical note
Publisher Copyright:
© The Author(s) 2024.
ID: 398548117