The Weyl map and bundle gerbes
| Autor: | Becker, Kimberly E., Murray, Michael K., Stevenson, Daniel |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.geomphys.2019.103572 |
| Popis: | We introduce the notion of a general cup product bundle gerbe and use it to define the Weyl bundle gerbe on T x SU(n)/T. The Weyl map from T x SU(n)/T to SU(n) is then used to show that the pullback of the basic bundle gerbe on SU(n) defined by the second two authors is stably isomorphic to the Weyl bundle gerbe as SU(n)-equivariant bundle gerbes. Both bundle gerbes come equipped with connections and curvings and by considering the holonomy of these we show that these bundle gerbes are not D-stably isomorphic. Comment: This paper is based on the MPhil thesis of the first author: arXiv:1910.01776. To appear in Journal of Geometry and Physics |
| Databáze: | arXiv |
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