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Topological Orders in (4+1)-Dimensions
by Theo Johnson-Freyd, Matthew Yu
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Submission summary
| Authors (as registered SciPost users): | Matthew Yu |
| Submission information | |
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| Preprint Link: | scipost_202204_00028v2 (pdf) |
| Date accepted: | Aug. 17, 2022 |
| Date submitted: | Aug. 5, 2022, 3:59 p.m. |
| Submitted by: | Matthew Yu |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Published as SciPost Phys. 13, 068 (2022)