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Abstract: We study generalizations of 3- and 4-dimensional BF-theory in the context ofhigher gauge theory. First, we construct topological higher gauge theories asdiscrete state sum models and explain how they are related to the state sums ofYetter, Mackaay, and Porter. Under certain conditions, we can present theircorresponding continuum counterparts in terms of classical Lagrangians. We thenexplain that two of these models are already familiar from the literature: theSigmaPhiEA-model of 3-dimensional gravity coupled to topological matter, andalso a 4-dimensional model of BF-theory coupled to topological matter.



Autor: F. Girelli, H. Pfeiffer, E. M. Popescu

Fuente: https://arxiv.org/







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