Equivariant bundle gerbes
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.
Keywords
Cite
@article{arxiv.1506.07931,
title = {Equivariant bundle gerbes},
author = {Michael K. Murray and David Michael Roberts and Danny Stevenson and Raymond F. Vozzo},
journal= {arXiv preprint arXiv:1506.07931},
year = {2018}
}
Comments
v2 35 pages, introduction rewritten, references added, no other substantial changes; v1 33 pages. Comments welcome. License is CC-BY