# 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

#### 17 Citations

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