The double semion state in infinite volume

• URL: http://arxiv.org/abs/2306.13762v1
• Date: Fri, 23 Jun 2023 19:56:15 GMT
• Title: The double semion state in infinite volume
• Authors: Alex Bols, Boris Kjaer and Alvin Moon
• Abstract summary: We describe a unitary braided fusion category from a collection of superselection sectors of a two-dimensional quantum spin system. The structure of the unitary braided fusion category is given by F and R-symbols, which describe fusion and braiding of the anyons. We then construct the double semion state in infinite volume and extract the unitary braided fusion category describing its semion, anti-semion, and bound state excitations.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We describe in a simple setting how to extract a unitary braided fusion category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding to abelian anyons. The structure of the unitary braided fusion category is given by F and R-symbols, which describe fusion and braiding of the anyons. We then construct the double semion state in infinite volume and extract the unitary braided fusion category describing its semion, anti-semion, and bound state excitations. We verify that this category corresponds to the representation category of the twisted quantum double of Z_2.

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