Ground State Degeneracy in the Levin-Wen Model for Topological Phases
Strongly Correlated Electrons
2013-05-30 v3 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1105.5771,
title = {Ground State Degeneracy in the Levin-Wen Model for Topological Phases},
author = {Yuting Hu and Spencer D. Stirling and Yong-Shi Wu},
journal= {arXiv preprint arXiv:1105.5771},
year = {2013}
}
Comments
8 pages, 2 figures. v2: reference added; v3: two appendices added