Conserved Topological Defects in Non-Embedded Graphs in Quantum Gravity

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dc.creatorMarkopoulou, Fotini
dc.creatorPrémont-Schwarz, Isabeau
dc.date2008-05-20
dc.date2008-11-21
dc.date.accessioned2026-07-07T11:50:58Z
dc.date.available2026-07-07T11:50:58Z
dc.descriptionWe follow up on previous work which found that commonly used graph evolution moves lead to conserved quantities that can be expressed in terms of the braiding of the graph in its embedding space. We study non-embedded graphs under three distinct sets of dynamical rules and find non-trivial conserved quantities that can be expressed in terms of topological defects in the dual geometry. For graphs dual to 2-dimensional simplicial complexes we identify all the conserved quantities of the evolution. We also indicate expected results for graphs dual to 3-dimensional simplicial complexes.
dc.description42 pages, 34 figures
dc.identifierhttps://arxiv.org/abs/0805.3175
dc.identifierhttp://arxiv.org/abs/0805.3175
dc.identifierClass.Quant.Grav.25:205015,2008
dc.identifierdoi:10.1088/0264-9381/25/20/205015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203743
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleConserved Topological Defects in Non-Embedded Graphs in Quantum Gravity
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