Finite Gauge Transformations and Geometry in Double Field Theory

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.

28 pages

References in corpus (4)

• Double Field Theory
• Doubled Geometry and T-Folds
• The gauge algebra of double field theory and Courant brackets
• Poisson modules and generalized geometry

Cited by in corpus (11)

• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Double Field Theory on Group Manifolds
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• A note on large gauge transformations in double field theory
• New gaugings and non-geometry
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• Duality Covariant Solutions in Extended Field Theories
• Extended Field Theories as higher Kaluza-Klein theories