Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/62323
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Type: Journal article
Title: Circle actions, central extensions and string structures
Author: Murray, M.
Vozzo, R.
Citation: International Journal of Geometric Methods in Modern Physics, 2010; 7(6):1065-1092
Publisher: World Scientific Publishing
Issue Date: 2010
ISSN: 0219-8878
1793-6977
Statement of
Responsibility: 
Michael K. Murray and Raymond F. Vozzo
Abstract: The caloron correspondence can be understood as an equivalence of categories between G-bundles over circle bundles and LG ⋊ρ S1-bundles where LG is the group of smooth loops in G. We use it, and lifting bundle gerbes, to derive an explicit differential form based formula for the (real) string class of an LG ⋊ρ S1-bundle.
Keywords: Bundle gerbes
central extensions
loop groups
caloron correspondence
string structures
Rights: Copyright status unknown
DOI: 10.1142/S0219887810004725
Grant ID: ARC
Published version: http://dx.doi.org/10.1142/s0219887810004725
Appears in Collections:Aurora harvest 5
Mathematical Sciences publications

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