Topological Higher Gauge Theory - from BF to BFCG theory

Details Topological Higher Gauge Theory - from BF to BFCG theory Topological Higher Gauge Theory - from BF to BFCG theory

2007-08-22

arxiv.org/abs/0708.3051v2

J.Math.Phys.49:032503,2008

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX 2e with XYPic diagrams

Scientific paper

10.1063/1.2888764

We 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.

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