Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter
arXiv:1707.04564 · doi:10.1007/s00220-017-2960-4
Abstract
We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations on the boundary, and systematically describe the bulk-to-boundary condensation procedure. We also present the parallel algebraic/categorical structure of gapped boundaries.
43 pages, 37 figures. Replaces Ch. 2.1-5, 2.7-8, 3.1-5, 3.7-8 of arXiv:1609.02037. Published version contained inaccuracy/redundancy in Eqs. 2.19-23 and inaccuracy in Thm. 2.12; these are corrected in this version
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