Topological Higher Gauge Theory - from BF to BFCG theory

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dc.creatorGirelli, F.
dc.creatorPfeiffer, H.
dc.creatorPopescu, E. M.
dc.date2007-08-22
dc.date2008-02-06
dc.date.accessioned2026-07-07T11:18:49Z
dc.date.available2026-07-07T11:18:49Z
dc.descriptionWe study generalizations of 3- and 4-dimensional BF-theory in the context of higher gauge theory. First, we construct topological higher gauge theories as discrete state sum models and explain how they are related to the state sums of Yetter, Mackaay, and Porter. Under certain conditions, we can present their corresponding continuum counterparts in terms of classical Lagrangians. We then explain that two of these models are already familiar from the literature: the SigmaPhiEA-model of 3-dimensional gravity coupled to topological matter, and also a 4-dimensional model of BF-theory coupled to topological matter.
dc.description16 pages, LaTeX 2e with XYPic diagrams
dc.identifierhttps://arxiv.org/abs/0708.3051
dc.identifierhttp://arxiv.org/abs/0708.3051
dc.identifierJ.Math.Phys.49:032503,2008
dc.identifierdoi:10.1063/1.2888764
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193473
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTopological Higher Gauge Theory - from BF to BFCG theory
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