Topological Orders in (4+1)-Dimensions
We investigate the Morita equivalences of (4+1)-dimensional topological orders. We show that any (4+1)-dimensional super (fermionic) topological order admits a gapped boundary condition -- in other words, all (4+1)-dimensional super topological orders are Morita trivial. As a result, there are no...
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| Format: | Article |
| Language: | English |
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SciPost
2022-09-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.13.3.068 |
| Summary: | We investigate the Morita equivalences of (4+1)-dimensional topological
orders. We show that any (4+1)-dimensional super (fermionic) topological order
admits a gapped boundary condition -- in other words, all (4+1)-dimensional
super topological orders are Morita trivial. As a result, there are no
inherently gapless super (3+1)-dimensional theories. On the other hand, we show
that there are infinitely many algebraically Morita-inequivalent bosonic
(4+1)-dimensional topological orders. |
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| ISSN: | 2542-4653 |