Equivariant bundle gerbes
| Autor: | Murray, Michael K., Roberts, David Michael, Stevenson, Danny, Vozzo, Raymond F. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Advances in Theoretical and Mathematical Physics 21 (2017) no. 4 pp 921-975 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4310/ATMP.2017.v21.n4.a3 |
| Popis: | We develop the theory of simplicial extensions for bundle gerbes and their characteristic classes with a view towards studying descent problems and equivariance for bundle gerbes. Equivariant bundle gerbes are important in the study of orbifold sigma models. We consider in detail two examples: the basic bundle gerbe on a unitary group and a string structure for a principal bundle. We show that the basic bundle gerbe is equivariant for the conjugation action and calculate its characteristic class; we show also that a string structure gives rise to a bundle gerbe which is equivariant for a natural action of the String 2-group. Comment: v2 35 pages, introduction rewritten, references added, no other substantial changes; v1 33 pages. Comments welcome. License is CC-BY |
| Databáze: | arXiv |
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