Finite Gauge Transformations and Geometry in Double Field Theory

Understand

Recently proposed forms for gauge transformations with finite parameters in double field theory are discussed and problematic issues are identified.

• A new form for finite gauge transformations is derived that reveals the underlying gerbe structure and the close relationship with generalised geometry.
• The nature of generalised tensors is elucidated, and in particular it is seen that the presence of a constant metric with split signature does not restrict the doubled geometry, provided it is a generalised tensor rather than a conventional tensor.