# Ground-state degeneracy of topological phases on open surfaces.

@article{Hung2015GroundstateDO,
title={Ground-state degeneracy of topological phases on open surfaces.},
author={Ling-Yan Hung and Yidun Wan},
journal={Physical review letters},
year={2015},
volume={114 7},
pages={
076401
}
}
• Published 31 July 2014
• Physics, Mathematics, Medicine
• Physical review letters
We relate the ground state degeneracy of a non-Abelian topological phase on a surface with boundaries to the anyon condensates that break the topological phase into a trivial phase. Specifically, we propose that gapped boundary conditions of the surface are in one-to-one correspondence with the sets of condensates, each being able to completely break the phase, and we substantiate this by examples. The ground state degeneracy resulting from a particular boundary condition coincides with the… Expand

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