Equivariant bundle gerbes
Date
2017
Authors
Murray, M.
Roberts, D.
Stevenson, D.
Vozzo, R.
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Advances in Theoretical and Mathematical Physics, 2017; 21(4):921-975
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Michael K. Murray, David Michael Roberts, Danny Stevenson, and Raymond F. Vozzo
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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.
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