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- W2022355630 abstract "We study properties of topological phases by calculating the ground state degeneracy (GSD) of the 2d Levin-Wen (LW) model. Here it is explicitly shown that the GSD depends only on the spatial topology of the system. Then we show that the ground state on a sphere is always non-degenerate. Moreover, we study an example associated with a quantum group, and show that the GSD on a torus agrees with that of the doubled Chern-Simons theory, consistent with the conjectured equivalence between the LW model associated with a quantum group and the doubled Chern-Simons theory." @default.
- W2022355630 created "2016-06-24" @default.
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- W2022355630 date "2012-02-07" @default.
- W2022355630 modified "2023-10-13" @default.
- W2022355630 title "Ground-state degeneracy in the Levin-Wen model for topological phases" @default.
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- W2022355630 doi "https://doi.org/10.1103/physrevb.85.075107" @default.
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