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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-09-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.13.3.068 |
| _version_ | 1818033135809462272 |
|---|---|
| author | Theo Johnson-Freyd, Matthew Yu |
| author_facet | Theo Johnson-Freyd, Matthew Yu |
| author_sort | Theo Johnson-Freyd, Matthew Yu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T06:18:27Z |
| format | Article |
| id | doaj.art-00143aba692f42ac80cf718060194103 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-10T06:18:27Z |
| publishDate | 2022-09-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-00143aba692f42ac80cf7180601941032022-12-22T01:59:24ZengSciPostSciPost Physics2542-46532022-09-0113306810.21468/SciPostPhys.13.3.068Topological Orders in (4+1)-DimensionsTheo Johnson-Freyd, Matthew YuWe 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.https://scipost.org/SciPostPhys.13.3.068 |
| spellingShingle | Theo Johnson-Freyd, Matthew Yu Topological Orders in (4+1)-Dimensions SciPost Physics |
| title | Topological Orders in (4+1)-Dimensions |
| title_full | Topological Orders in (4+1)-Dimensions |
| title_fullStr | Topological Orders in (4+1)-Dimensions |
| title_full_unstemmed | Topological Orders in (4+1)-Dimensions |
| title_short | Topological Orders in (4+1)-Dimensions |
| title_sort | topological orders in 4 1 dimensions |
| url | https://scipost.org/SciPostPhys.13.3.068 |
| work_keys_str_mv | AT theojohnsonfreydmatthewyu topologicalordersin41dimensions |