Circle actions, central extensions and string structures

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2010

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Murray, M.
Vozzo, R.

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International Journal of Geometric Methods in Modern Physics, 2010; 7(6):1065-1092

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Michael K. Murray and Raymond F. Vozzo

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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.

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