%0 Journal Article
%T Wilson Line Picture of Levin-Wen Partition Functions
%A F. J. Burnell
%A Steven H. Simon
%J Physics
%D 2010
%I arXiv
%R 10.1088/1367-2630/13/6/065001
%X Levin and Wen [Phys. Rev. B 71, 045110 (2005)] have recently given a lattice Hamiltonian description of doubled Chern-Simons theories. We relate the partition function of these theories to an expectation of Wilson loops that form a link in 2+1 dimensional spacetime known in the mathematical literature as Chain-Mail. This geometric construction gives physical interpretation of the Levin-Wen Hilbert space and Hamiltonian, its topological invariance, exactness under coarse-graining, and how two opposite chirality sectors of the doubled theory arise.
%U http://arxiv.org/abs/1004.5147v3