Work

Equivariant bundle gerbes

Year: 2017

Type: article

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.

Source: Advances in Theoretical and Mathematical Physics

DOI: 10.4310/atmp.2017.v21.n4.a3

Authors: Michael K. Murray, David Michael Roberts, Danny Stevenson, Raymond F. Vozzo

Institution: The University of Adelaide

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1628838403

FWCI: 2.122

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Cited by: 11

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