Non-Geometric Fluxes in Supergravity and Double Field Theory

Abstract

In this paper we propose ten-dimensional realizations of the non-geometric fluxes Q and R. In particular, they appear in the NSNS Lagrangian after performing a field redefinition that takes the form of a T-duality transformation. Double field theory simplifies the computation of the field redefinition significantly, and also completes the higher-dimensional picture by providing a geometrical role for the non-geometric fluxes once the winding derivatives are taken into account. The relation to four-dimensional gauged supergravities, together with the global obstructions of non-geometry, are discussed.

43 pages

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Cited by in corpus (104)

• Double Field Theory: A Pedagogical Review
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• Exploring Double Field Theory
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• Extended geometry and gauged maximal supergravity
• Exotic Branes in String Theory
• T-duality and ${\alpha }^{\prime }$-corrections
• Large Gauge Transformations in Double Field Theory
• Gauged Supergravities
• Exceptional field theory: $SL(5)$
• M-theory and Type IIB from a Duality Manifest Action
• Exceptional field theory: $SO(5,5)$
• Comments on double field theory and diffeomorphisms
• Geometry and fluxes of SL(5) exceptional field theory
• Non-geometric backgrounds in string theory
• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework
• The O_{D,D} Geometry of String Theory
• Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics
• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• The Odd story of ${\alpha }^{\prime }$-corrections
• Gauge theory of Kaluza-Klein and winding modes
• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
• Double Field Theory on Group Manifolds
• Non-associative Deformations of Geometry in Double Field Theory
• (Non-)commutative closed string on T-dual toroidal backgrounds
• Double Field Theory and Membrane Sigma-Models
• Towards an invariant geometry of double field theory
• Non-geometric branes are DFT monopoles
• Consistent Compactification of Double Field Theory on Non-geometric Flux Backgrounds
• Lorentz violation, Gravity, Dissipation and Holography
• A bi-invariant Einstein-Hilbert action for the non-geometric string
• The Intriguing Structure of Non-geometric Frames in String Theory
• U-duality covariant gravity
• Generalised Kinematics for Double Field Theory
• Algebroid Structures on Para-Hermitian Manifolds
• A new twist on heterotic string compactifications
• Exotic branes and non-geometric fluxes
• Remarks on the non-Riemannian sector in Double Field Theory
• Non-Riemannian geometry of M-theory
• Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Dual Double Field Theory
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• Generalized Dualities and Higher Derivatives
• Para-Hermitian Geometry, Dualities and Generalized Flux Backgrounds
• Non-associativity in non-geometric string and M-theory backgrounds, the algebra of octonions, and missing momentum modes
• Tri-vector deformations in $d=11$ supergravity
• Double Field Theory Inspired Cosmology
• Type IIB flux vacua from G-theory II
• Conserved Currents of Double Field Theory
• Timelike U-dualities in Generalised Geometry
• Type IIB flux vacua from G-theory I
• Membrane Duality Revisited
• Sigma models for genuinely non-geometric backgrounds
• T-duality revisited
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• T-duality in the weakly curved background
• Dictionary for the type II nongeometric flux compactifications
• On T-duality transformations for the three-sphere
• Cosmological Implications from O(D,D)
• Canonical approach to the closed string noncommutativity
• On current algebras, generalised fluxes and non-geometry
• Rigid nongeometric orientifolds and the swampland
• A symplectic rearrangement of the four dimensional non-geometric scalar potential
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• Locally non-geometric fluxes and missing momenta in M-theory
• The monodromy of T-folds and T-fects
• On modular completion of generalized flux orbits
• Doubled strings, negative strings and null waves
• Gravity theory on Poisson manifold with $R$-flux
• Star products on graded manifolds and ${\alpha }^{\prime }$-corrections to Courant algebroids from string theory
• Symplectic formulation of the type IIA nongeometric scalar potential
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• On stable type IIA de-Sitter vacua with geometric flux
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• BPS States in the Duality Web of the Omega deformation
• Towards a world-sheet description of doubled geometry in string theory
• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• Topological Membranes, Current Algebras and H-flux - R-flux Duality based on Courant Algebroids
• Dimensional Reduction of the Generalized DBI
• Massive Deformations of Type IIA Theory Within Double Field Theory
• Supergravity with Doubled Spacetime Structure
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Directly from $H$-flux to the family of three nonlocal $R$-flux theories
• Open-string T-duality and applications to non-geometric backgrounds
• On Stringy de Sitter Spacetimes
• Geometric Low-Energy Effective Action in a Doubled Spacetime
• Taxonomy of scalar potential with U-dual fluxes
• Geometric U-folds in four dimensions
• Contravariant geometry and emergent gravity from noncommutative gauge theories
• Open-String Non-Associativity in an R-flux Background
• T-duality of a bosonic string in a weakly curved space-time
• A gravitational action with stringy $Q$ and $R$ fluxes via deformed differential graded Poisson algebras
• Double Field Theory for Generalized $\lambda$-deformation
• Towards a T-dual Emergent Gravity
• Duality rules for more mixed-symmetry potentials