Bullivant, A, Calçada, M, Kadar, Z et al. (2 more authors) (2017) Topological phases from higher gauge symmetry in 3+1 dimensions. Physical Review B, 95 (15). 155118. ISSN 2469-9950
Abstract
We propose an exactly solvable Hamiltonian for topological phases in 3 + 1 dimensions utilizing ideas from higher lattice gauge theory, where the gauge symmetry is given by a finite 2-group. We explicitly show that the model is a Hamiltonian realization of Yetter's homotopy 2-type topological quantum field theory whereby the ground-state projector of the model defined on the manifold M 3 is given by the partition function of the underlying topological quantum field theory for M 3 × [ 0 , 1 ] . We show that this result holds in any dimension and illustrate it by computing the ground state degeneracy for a selection of spatial manifolds and 2-groups. As an application we show that a subset of our model is dual to a class of Abelian Walker-Wang models describing 3 + 1 dimensional topological insulators.
Metadata
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Copyright, Publisher and Additional Information: | © 2017, American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. | ||||
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Institution: | The University of Leeds | ||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) | ||||
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Depositing User: | Symplectic Publications | ||||
Date Deposited: | 15 Feb 2017 11:54 | ||||
Last Modified: | 23 Jun 2023 22:23 | ||||
Status: | Published | ||||
Publisher: | American Physical Society | ||||
Identification Number: | https://doi.org/10.1103/PhysRevB.95.155118 |