Wilson Line Picture of Levin-Wen Partition Functions
Strongly Correlated Electrons
2011-07-13 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1004.5147,
title = {Wilson Line Picture of Levin-Wen Partition Functions},
author = {F. J. Burnell and Steven H. Simon},
journal= {arXiv preprint arXiv:1004.5147},
year = {2011}
}
Comments
Final published version; Appendix added