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|Title:||Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories|
|Citation:||Communications in Mathematical Physics, 2005; 259(3):577-613|
|Alan L. Carey, Stuart Johnson, Michael K. Murray, Danny Stevenson and Bai-Ling Wang|
|Abstract:||We develop the theory of Chern-Simons bundle 2-gerbes and multiplicative bundle gerbes associated to any principal G-bundle with connection and a class in H4(BG,Z) for a compact semi-simple Lie group G. The Chern-Simons bundle 2-gerbe realises differential geometrically the Cheeger-Simons invariant.We apply these notions to refine the Dijkgraaf-Witten correspondence between three dimensional Chern-Simons functionals andWess-Zumino-Witten models associated to the group G.We do this by introducing a lifting to the level of bundle gerbes of the natural map from H4(BG,Z) to H3(G,Z). The notion of a multiplicative bundle gerbe accounts geometrically for the subtleties in this correspondence for non-simply connected Lie groups. The implications forWess-Zumino-Witten models are also discussed.|
|Description:||The original publication can be found at www.springerlink.com|
|Appears in Collections:||Aurora harvest 2|
Pure Mathematics publications
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