Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory

@article{Aschieri2005NonabelianBG,
  title={Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory},
  author={Paolo Aschieri and Luigi Cantini and Branislav Jur{\vc}o},
  journal={Communications in Mathematical Physics},
  year={2005},
  volume={254},
  pages={367-400}
}
Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and in local coordinates. These are the gauge fields needed for the construction of Yang-Mills theories with 2-form gauge potential. 
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