Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter.
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.
Publisher URL: http://arxiv.org/abs/1707.04564
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