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Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case

Abstract:
In this, the third paper in our series describing the excitations of the higher lattice gauge theory model for topological phases, we will examine the 3+1d case in detail. We will explicitly construct the ribbon and membrane operators which create the topological excitations, and use these creation operators to find the pattern of condensation and confinement. We also use these operators to find the braiding relations of the excitations, and to construct charge measurement operators which project to states of definite topological charge.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.109.035152

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review B More from this journal
Volume:
109
Issue:
3
Article number:
035152
Publication date:
2024-01-23
Acceptance date:
2023-12-15
DOI:
EISSN:
2469-9969
ISSN:
2469-9950


Language:
English
Keywords:
Pubs id:
1585386
Local pid:
pubs:1585386
Deposit date:
2023-12-18

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