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 (28)

• Double Field Theory
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• A Geometry for Non-Geometric String Backgrounds
• Background independent action for double field theory
• Nongeometric Flux Compactifications
• New Supersymmetric String Compactifications
• Doubled Geometry and T-Folds
• Double Field Theory: A Pedagogical Review
• The gauge algebra of double field theory and Courant brackets
• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• Duality Twists, Orbifolds, and Fluxes
• Supergravity as Generalised Geometry I: Type II Theories
• Geometric Constructions of Nongeometric String Theories
• T-duality, Generalized Geometry and Non-Geometric Backgrounds
• Generalised T-Duality and Non-Geometric Backgrounds
• Generalized Duality in Curved String-Backgrounds
• Non-geometric backgrounds, doubled geometry and generalised T-duality
• Large Gauge Transformations in Double Field Theory
• Comments on double field theory and diffeomorphisms
• Global aspects of double geometry
• Target Space Duality as a Symmetry of String Field Theory
• Gauge Symmetry, T-Duality and Doubled Geometry
• Flux Compactifications of String Theory on Twisted Tori
• Duality Symmetric String and M-Theory
• The geometry behind double geometry
• Seeking the balance: Patching double and exceptional field theories
• Poisson modules and generalized geometry

Cited by in corpus (43)

• T-duality and ${\alpha }^{\prime }$-corrections
• Gauged Supergravities
• The Odd story of ${\alpha }^{\prime }$-corrections
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Double Field Theory on Group Manifolds
• An Action for F-theory: $\mathrm{SL}(2)\times {\mathbb{R}}^{+}$ Exceptional Field Theory
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• The Geometry, Branes and Applications of Exceptional Field Theory
• Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
• Killing(-Yano) Tensors in String Theory
• Remarks on the non-Riemannian sector in Double Field Theory
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Exceptional Calabi--Yau spaces: the geometry of $\mathcal{N}=2$ backgrounds with flux
• Hidden Gauge Structure of Supersymmetric Free Differential Algebras
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• Triproducts, nonassociative star products and geometry of R-flux string compactifications
• Supersymmetric gauged Double Field Theory: Systematic derivation by virtue of \textit{Twist}
• The generalized Bergshoeff-de Roo identification II
• Canonical formulation and conserved charges of double field theory
• A note on large gauge transformations in double field theory
• Doubled Aspects of Vaisman Algebroid and Gauge Symmetry in Double Field Theory
• Black hole thermodynamics, stringy dualities and double field theory
• T-duality, Quotients and Currents for Non-Geometric Closed Strings
• The monodromy of T-folds and T-fects
• New gaugings and non-geometry
• Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality
• Global Double Field Theory is Higher Kaluza-Klein Theory
• Patching DFT, T-duality and Gerbes
• Finite Transformations in Doubled and Exceptional Space
• A geometric formulation of exceptional field theory
• Generalized 11D supergravity equations from tri-vector deformations
• Fermions, differential forms and doubled geometry
• Extended Riemannian Geometry III: Global Double Field Theory with Nilmanifolds
• Twistors and supertwistors for exceptional field theory
• Finite Gauge Transformations and Geometry in Extended Field Theory
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• Higher Spin Double Field Theory : A Proposal
• Towards an extended/higher correspondence -- Generalised geometry, bundle gerbes and global Double Field Theory
• Strings, Branes and the Self-dual Solutions of Exceptional Field Theory
• C-spaces, generalized geometry and double field theory
• The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective
• Duality Covariant Solutions in Extended Field Theories
• Extended Field Theories as higher Kaluza-Klein theories