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https://hdl.handle.net/2440/17770
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Type: | Journal article |
Title: | Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories |
Author: | Carey, A. Johnson, S. Murray, M. Stevenson, D. Wang, B. |
Citation: | Communications in Mathematical Physics, 2005; 259(3):577-613 |
Publisher: | Springer |
Issue Date: | 2005 |
ISSN: | 0010-3616 1432-0916 |
Statement of Responsibility: | 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 |
DOI: | 10.1007/s00220-005-1376-8 |
Published version: | http://www.springerlink.com/content/v57116470192t237/?p=cd23388d48cc4cf1aee25fe40debb9c5&pi=3 |
Appears in Collections: | Aurora harvest 2 Pure Mathematics publications |
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