An invitation to higher gauge theory

@article{Baez2011AnIT,
  title={An invitation to higher gauge theory},
  author={John C. Baez and John Huerta},
  journal={General Relativity and Gravitation},
  year={2011},
  volume={43},
  pages={2335-2392}
}
  • J. Baez, J. Huerta
  • Published 23 March 2010
  • Mathematics
  • General Relativity and Gravitation
In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge ‘2-group’. We focus on 6 examples. First, every abelian Lie group gives a Lie 2-group; the case of U(1) yields the theory of U(1) gerbes, which play an important role in string theory and multisymplectic geometry. Second, every group representation gives a Lie… 
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Just as gauge theory describes the parallel transport of point particles using connections on bundles, higher gauge theory describes the parallel transport of 1-dimensional objects (e.g. strings)
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