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Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter
Published 14 Jul 2017 in cond-mat.str-el, math-ph, math.MP, math.QA, and quant-ph | (1707.04564v3)
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.
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