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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
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.

Published as SciPost Phys. 13, 068 (2022)



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