Gerbes and Lie Groups

@article{Schweigert2011GerbesAL,
  title={Gerbes and Lie Groups},
  author={Christoph Schweigert and Konrad Waldorf},
  journal={arXiv: Differential Geometry},
  year={2011},
  pages={339-364}
}
Compact Lie groups do not only carry the structure of a Riemannian manifold, but also canonical families of bundle gerbes. We discuss the construction of these bundle gerbes and their relation to loop groups. We present several algebraic structures for bundle gerbes with connection, such as Jandl structures, gerbe modules and gerbe bimodules, and indicate their applications to Wess–Zumino terms in two-dimensional field theories. 
A LOOP SPACE FORMULATION FOR GEOMETRIC LIFTING PROBLEMS
  • K. Waldorf
  • Mathematics
    Journal of the Australian Mathematical Society
  • 2011
Abstract We review and then combine two aspects of the theory of bundle gerbes. The first concerns lifting bundle gerbes and connections on those, developed by Murray and by Gomi. Lifting gerbes
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