Topological higher gauge theory: From BF to BFCG theory
Topological higher gauge theory: From BF to BFCG theory
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拓扑高规范场理论：从 BF 到 BFCG 理论
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
E. M. Popescu
中科院分区：
文献类型：
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作者：
F. Girelli;H. Pfeiffer;E. M. Popescu
我们研究的三维和四维BF理论在更高的规范理论的范围内的推广。首先，我们构造拓扑高规范理论作为离散状态和模型，并解释它们是如何与状态和Yetter，Mackaay和Porter。在一定的条件下，我们可以用经典拉格朗日量来表示相应的连续介质。然后，我们解释说，这些模型中的两个已经从文献中熟悉：三维引力耦合到拓扑物质的EEA模型，以及耦合到拓扑物质的BF理论的四维模型。
We study generalizations of three- and four-dimensional BF theories 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 ΣΦEA model of three-dimensional gravity coupled to topological matter and also a four-dimensional model of BF theory coupled to topological matter.