Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case
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...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2024
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| _version_ | 1797112438748872704 |
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| author | Huxford, J Simon, SH |
| author_facet | Huxford, J Simon, SH |
| author_sort | Huxford, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T08:25:47Z |
| format | Journal article |
| id | oxford-uuid:28d58b77-38c0-4725-a359-74a2e3624828 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:25:47Z |
| publishDate | 2024 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:28d58b77-38c0-4725-a359-74a2e36248282024-02-14T13:10:08ZExcitations in the higher lattice gauge theory model for topological phases III: the 3+1d caseJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:28d58b77-38c0-4725-a359-74a2e3624828EnglishSymplectic ElementsAmerican Physical Society2024Huxford, JSimon, SHIn 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. |
| spellingShingle | Huxford, J Simon, SH Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case |
| title | Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case |
| title_full | Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case |
| title_fullStr | Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case |
| title_full_unstemmed | Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case |
| title_short | Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case |
| title_sort | excitations in the higher lattice gauge theory model for topological phases iii the 3 1d case |
| work_keys_str_mv | AT huxfordj excitationsinthehigherlatticegaugetheorymodelfortopologicalphasesiiithe31dcase AT simonsh excitationsinthehigherlatticegaugetheorymodelfortopologicalphasesiiithe31dcase |