Multiplicative Bundle Gerbes with Connection

Details Multiplicative Bundle Gerbes with Connection Multiplicative Bundle Gerbes with Connection

2008-04-30

arxiv.org/abs/0804.4835v4

Differential Geom. Appl. 28(3), 313-340 (2010)

Mathematics

Differential Geometry

50 pages; v2: minor changes; v3: exposition improved, one convention in Definition 1.3 changed, accordant changes throughout t

Scientific paper

Multiplicative bundle gerbes are gerbes over a Lie group which are compatible with the group structure. In this article connections on such bundle gerbes are introduced and studied. It is shown that multiplicative bundle gerbes with connection furnish geometrical constructions of the following objects: smooth central extensions of loop groups, Chern-Simons actions for arbitrary gauge groups, and symmetric bi-branes for WZW models with topological defect lines.

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