{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T03:17:12Z","timestamp":1778037432001,"version":"3.51.4"},"reference-count":54,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T00:00:00Z","timestamp":1591228800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>We demonstrate how to do many computations for doubled topological phases with defects. These defects may be 1-dimensional domain walls or 0-dimensional point defects.Using <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>Vec<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo stretchy=\"false\">(<\/mml:mo><mml:msub><mml:mi>S<\/mml:mi><mml:mn>3<\/mml:mn><\/mml:msub><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math> as a guiding example, we demonstrate how domain wall fusion and associators can be computed using generalized tube algebra techniques. These domain walls can be both between distinct or identical phases. Additionally, we show how to compute all possible point defects, and the fusion and associator data of these. Worked examples, tabulated data and Mathematica code are provided.<\/jats:p>","DOI":"10.22331\/q-2020-06-04-277","type":"journal-article","created":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T12:14:39Z","timestamp":1591272879000},"page":"277","source":"Crossref","is-referenced-by-count":20,"title":["Computing data for Levin-Wen with defects"],"prefix":"10.22331","volume":"4","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5638-6681","authenticated-orcid":false,"given":"Jacob C.","family":"Bridgeman","sequence":"first","affiliation":[{"name":"Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6423-117X","authenticated-orcid":false,"given":"Daniel","family":"Barter","sequence":"additional","affiliation":[{"name":"Mathematical Sciences Institute, Australian National University, Canberra, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2020,6,4]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"A. 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