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Boundaries of Walker-Wang models have been used to construct commuting projector models which realize chiral unitary modular tensor categories (UMTCs) as boundary excitations. Given a UMTC representing the Witt class of an anomaly, the article \cite{MR4640433} gave a commuting projector model associated to an -enriched unitary fusion category on a 2D boundary of the 3D Walker-Wang model associated to . That article claimed that the boundary excitations were given by the enriched center/Müger centralizer of in .In this article, we give a rigorous treatment of this 2D boundary model, and we verify this assertion using topological quantum field theory (TQFT) techniques, including skein modules and a certain semisimple algebra whose representation category describes boundary excitations. We also use TQFT techniques to show the 3D bulk point excitations of the Walker-Wang bulk are given by the Müger center , and we construct bulk-to-boundary hopping operators reflecting how the UMTC of boundary excitations is symmetric-braided enriched in .This article also includes a self-contained comprehensive review of the Levin-Wen string net model from a unitary tensor category viewpoint, as opposed to the skeletal symbol viewpoint.more » « less
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