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arxiv: 1707.04564 · v3 · pith:OEQBP2VCnew · submitted 2017-07-14 · ❄️ cond-mat.str-el · math-ph· math.MP· math.QA· quant-ph

Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

Iris Cong , Meng Cheng , Zhenghan Wang This is my paper
classification ❄️ cond-mat.str-el math-phmath.MPmath.QAquant-ph
keywords boundariesgappedalgebraichamiltoniantheoriesboundarybulk-to-boundarycategorical
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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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  1. Twin Algebras: Condensable Algebras beyond Anyons

    cond-mat.str-el 2026-05 unverdicted novelty 7.0

    Twin condensable algebras are introduced as condensable algebras with identical anyon decompositions but inequivalent algebra structures, yielding distinct symmetric phases in group-theoretical topological orders.