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arXiv · 2005.09404

Construction and examples of higher gauge theories

Tijana Radenkovic·Marko Vojinovic
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Abstract

We provide several examples of higher gauge theories, constructed as generalizations of a BF model to 2BF and 3BF models with constraints. Using the framework of higher category theory, we introduce appropriate 2-groups and 3-groups, and construct the actions for the corresponding constrained 2BF and 3BF theories. In this way, we can construct actions which describe the correct dynamics of Yang-Mills, Klein-Gordon, Dirac, Weyl, and Majorana fields coupled to Einstein-Cartan gravity. Each action is naturally split into a topological sector and a sector with simplicity constraints. The properties of the higher gauge group structure opens up a possibility of a nontrivial unification of all fields.

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Tijana Radenkovic, Marko Vojinovic. 2020-05-19. Construction and examples of higher gauge theories. https://arxiv.org/abs/2005.09404

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