Finite Gauge Transformations and Geometry in Double Field Theory

TL;DR

This paper investigates finite gauge transformations in double field theory, revealing their gerbe structure and connection to generalised geometry, and clarifies the nature of generalised tensors.

Contribution

A new form for finite gauge transformations is derived, highlighting the gerbe structure and relationship with generalised geometry in double field theory.

Findings

Finite gauge transformations reveal gerbe structure.

Constant metric with split signature does not restrict doubled geometry.

Generalised tensors differ from conventional tensors in this context.

Abstract

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.