Polyakov-Wiegmann formula and multiplicative gerbes

@article{Gawdzki2009PolyakovWiegmannFA,
  title={Polyakov-Wiegmann formula and multiplicative gerbes},
  author={Krzysztof Gawȩdzki and Konrad Waldorf},
  journal={Journal of High Energy Physics},
  year={2009},
  volume={2009},
  pages={073-073}
}
An unambiguous definition of Feynman amplitudes in the Wess-Zumino-Witten sigma model and the Chern-Simon gauge theory with a general Lie group is determined by a certain geometric structure on the group. For the WZW amplitudes, this is a (bundle) gerbe with connection of an appropriate curvature whereas for the CS amplitudes, the gerbe has to be additionally equipped with a multiplicative structure assuring its compatibility with the group multiplication. We show that for simple compact Lie… Expand

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