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https://hdl.handle.net/2440/114635
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Type: | Journal article |
Title: | Equivariant bundle gerbes |
Author: | Murray, M. Roberts, D. Stevenson, D. Vozzo, R. |
Citation: | Advances in Theoretical and Mathematical Physics, 2017; 21(4):921-975 |
Publisher: | International Press |
Issue Date: | 2017 |
ISSN: | 1095-0761 1095-0753 |
Statement of Responsibility: | Michael K. Murray, David Michael Roberts, Danny Stevenson, and Raymond F. Vozzo |
Abstract: | 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. |
Rights: | Copyright status unknown |
DOI: | 10.4310/ATMP.2017.v21.n4.a3 |
Grant ID: | http://purl.org/au-research/grants/arc/DP120100106 http://purl.org/au-research/grants/arc/DP130102578 |
Published version: | http://dx.doi.org/10.4310/atmp.2017.v21.n4.a3 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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