Topological Orders in (4+1)-Dimensions
High Energy Physics - Theory
2022-09-28 v2 Strongly Correlated Electrons
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2104.04534,
title = {Topological Orders in (4+1)-Dimensions},
author = {Theo Johnson-Freyd and Matthew Yu},
journal= {arXiv preprint arXiv:2104.04534},
year = {2022}
}
Comments
18 pages, 2 figures