On the basic bundle gerbe over a compact simple Lie group in relation to the WZW model:
Krzysztof Gawędzki, Nuno Reis, WZW branes and gerbes, Rev. Math. Phys. 14 (2002) 1281-1334 [arXiv:hep-th/0205233, doi:10.1142/S0129055X02001557]
Krzysztof Gawędzki, Nuno Reis, Basic gerbe over non-simply connected compact groups, Journal of Geometry and Physics 50 1-4 (2004) 28–55 [arXiv:0307010, doi:10.1016/j.geomphys.2003.11.004]
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