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The double semion state in infinite volume
- Publication Year :
- 2023
-
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.<br />Comment: 29 pages, 18 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2306.13762
- Document Type :
- Working Paper