Computing data for Levin-Wen with defects
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 $\operatorname{Vec}(S_3)$ as a guiding example, we demonstrate how domain wall fusion and associators can be computed using g...
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2020-06-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2020-06-04-277/pdf/ |
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doaj-c0db367a937f42bcaa13242b0cc8ba1b2020-11-25T03:22:14ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2020-06-01427710.22331/q-2020-06-04-27710.22331/q-2020-06-04-277Computing data for Levin-Wen with defectsJacob C. BridgemanDaniel BarterWe 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 $\operatorname{Vec}(S_3)$ 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.https://quantum-journal.org/papers/q-2020-06-04-277/pdf/ |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jacob C. Bridgeman Daniel Barter |
| spellingShingle |
Jacob C. Bridgeman Daniel Barter Computing data for Levin-Wen with defects Quantum |
| author_facet |
Jacob C. Bridgeman Daniel Barter |
| author_sort |
Jacob C. Bridgeman |
| title |
Computing data for Levin-Wen with defects |
| title_short |
Computing data for Levin-Wen with defects |
| title_full |
Computing data for Levin-Wen with defects |
| title_fullStr |
Computing data for Levin-Wen with defects |
| title_full_unstemmed |
Computing data for Levin-Wen with defects |
| title_sort |
computing data for levin-wen with defects |
| publisher |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| series |
Quantum |
| issn |
2521-327X |
| publishDate |
2020-06-01 |
| description |
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 $\operatorname{Vec}(S_3)$ 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. |
| url |
https://quantum-journal.org/papers/q-2020-06-04-277/pdf/ |
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AT jacobcbridgeman computingdataforlevinwenwithdefects AT danielbarter computingdataforlevinwenwithdefects |
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