Topological Defects on the Lattice I: The Ising model

  title={Topological Defects on the Lattice I: The Ising model},
  author={D. Aasen and Roger S. K. Mong and P. Fendley},
  journal={arXiv: Statistical Mechanics},
In this paper and its sequel, we construct topologically invariant defects in two-dimensional classical lattice models and quantum spin chains. We show how defect lines commute with the transfer matrix/Hamiltonian when they obey the defect commutation relations, cousins of the Yang-Baxter equation. These relations and their solutions can be extended to allow defect lines to branch and fuse, again with properties depending only on topology. In this part I, we focus on the simplest example, the… Expand
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