Topological Orders in (4+1)-Dimensions

Johnson-Freyd, Theo; Yu, Matthew

doi:10.21468/SciPostPhys.13.3.068

SciPost Physics

Topological Orders in (4+1)-Dimensions

Theo Johnson-Freyd, Matthew Yu

SciPost Phys. 13, 068 (2022) · published 27 September 2022

doi: 10.21468/SciPostPhys.13.3.068
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.3.068
TI  - Topological Orders in (4+1)-Dimensions
PY  - 2022/09/27
UR  - https://scipost.org/SciPostPhys.13.3.068
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 3
SP  - 068
A1  - Johnson-Freyd, Theo
AU  - Yu, Matthew
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.13.3.068,
	title={{Topological Orders in (4+1)-Dimensions}},
	author={Theo Johnson-Freyd and Matthew Yu},
	journal={SciPost Phys.},
	volume={13},
	pages={068},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.3.068},
	url={https://scipost.org/10.21468/SciPostPhys.13.3.068},
}

Cited by 4

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¹ ² Theo Johnson-Freyd,
¹ Matthew Yu

¹ Perimeter Institute [PI]
² Dalhousie University

Funders for the research work leading to this publication