Murray, M.K. and Vozzo, R.F. (2010) Circle actions, central extensions and string structures. International Journal of Geometric Methods in Modern Physics, 7(6), pp. 1065-1092. (doi: 10.1142/S0219887810004725)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Vozzo, Dr Raymond |
| Authors: | Murray, M.K., and Vozzo, R.F. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | International Journal of Geometric Methods in Modern Physics |
| Journal Abbr.: | Int. J. Geom. Methods Mod. Phys. |
| ISSN: | 0219-8878 |
| ISSN (Online): | 1793-6977 |
| Related URLs: |
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