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Given a UMTC A<\/mml:mi><\/mml:mrow><\/mml:math> representing the Witt class of an anomaly, the article \\cite{MR4640433} gave a commuting projector model associated to an A<\/mml:mi><\/mml:mrow><\/mml:math>-enriched unitary fusion category X<\/mml:mi><\/mml:mrow><\/mml:math> on a 2D boundary of the 3D Walker-Wang model associated to A<\/mml:mi><\/mml:mrow><\/mml:math>. That article claimed that the boundary excitations were given by the enriched center\/M\u00fcger centralizer Z<\/mml:mi>A<\/mml:mi><\/mml:mrow><\/mml:msup>(<\/mml:mo>X<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:math> of A<\/mml:mi><\/mml:mrow><\/mml:math> in Z<\/mml:mi>(<\/mml:mo>X<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:math>.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 M\u00fcger center Z<\/mml:mi>2<\/mml:mn><\/mml:msub>(<\/mml:mo>A<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:math>, and we construct bulk-to-boundary hopping operators Z<\/mml:mi>2<\/mml:mn><\/mml:msub>(<\/mml:mo>A<\/mml:mi><\/mml:mrow>)<\/mml:mo>&#x2192;<\/mml:mo>Z<\/mml:mi>A<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:msup>(<\/mml:mo>X<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:math> reflecting how the UMTC of boundary excitations Z<\/mml:mi>A<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:msup>(<\/mml:mo>X<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:math> is symmetric-braided enriched in Z<\/mml:mi>2<\/mml:mn><\/mml:msub>(<\/mml:mo>A<\/mml:mi><\/mml:mrow>)<\/mml:mo><\/mml:math>.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 6<\/mml:mn>j<\/mml:mi><\/mml:math> symbol viewpoint.<\/jats:p>","DOI":"10.22331\/q-2024-03-28-1301","type":"journal-article","created":{"date-parts":[[2024,3,28]],"date-time":"2024-03-28T12:21:52Z","timestamp":1711628512000},"page":"1301","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":10,"title":["Enriched string-net models and their excitations"],"prefix":"10.22331","volume":"8","author":[{"given":"David","family":"Green","sequence":"first","affiliation":[{"name":"The Ohio State University"}]},{"given":"Peter","family":"Huston","sequence":"additional","affiliation":[{"name":"Vanderbilt University"}]},{"given":"Kyle","family":"Kawagoe","sequence":"additional","affiliation":[{"name":"The Ohio State University"}]},{"given":"David","family":"Penneys","sequence":"additional","affiliation":[{"name":"The Ohio State University"}]},{"given":"Anup","family":"Poudel","sequence":"additional","affiliation":[{"name":"The Ohio State University"}]},{"given":"Sean","family":"Sanford","sequence":"additional","affiliation":[{"name":"The Ohio State University"}]}],"member":"9598","published-online":{"date-parts":[[2024,3,28]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"F. 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