SciPost Submission Page
Topological Orders in (4+1)-Dimensions
by Theo Johnson-Freyd, Matthew Yu
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint Link: |
scipost_202204_00028v2
(pdf)
|
| Date accepted: |
2022-08-17 |
| Date submitted: |
2022-08-05 15:59 |
| Submitted by: |
Yu, Matthew |
| Submitted to: |
SciPost Physics |
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
- High-Energy Physics - Theory
- Mathematical Physics
|
| Approach: |
Theoretical |
Abstract
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.
