Exploring Double Field Theory

Abstract

We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by truly double configurations. The constraints are related to generalized Bianchi Identities for (non-)geometric fluxes in the double space, sourced by (exotic) branes. Following previous constructions, we then obtain generalized connections, torsion and curvatures compatible with the consistency conditions. The strong constraint-violating terms needed to make contact with gauged supergravities containing duality orbits of non-geometric fluxes, systematically arise in this formulation.

To appear in JHEP

References in corpus (36)

• Double Field Theory
• Generalised Geometry for M-Theory
• Doubled Geometry and T-Folds
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Differential geometry with a projection: Application to double field theory
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Gauged N=4 supergravities
• The E_{11} origin of all maximal supergravities
• Double Field Theory Formulation of Heterotic Strings
• Extended geometry and gauged maximal supergravity
• Background Field Equations for the Duality Symmetric String
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• The O_{D,D} Geometry of String Theory
• String Solitons and T-duality
• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• Double field formulation of Yang-Mills theory
• U-geometry : SL(5)
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• Type-IIA flux compactifications and N=4 gauged supergravities
• U-dual fluxes and Generalized Geometry
• The KK-Monopole/NS5-Brane in Doubled Geometry
• Non-geometric Backgrounds and the First Order String Sigma Model
• How to halve maximal supergravity
• A bi-invariant Einstein-Hilbert action for the non-geometric string
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• Non-commutative/non-associative IIA (IIB) Q- and R-branes and their intersections
• Rotating string in doubled geometry with generalized isometries
• D-branes and doubled geometry
• Beyond Twisted Tori
• E8 duality and dual gravity
• On general flux backgrounds with localized sources
• The Worldsheet Perspective of T-duality Symmetry in String Theory
• Dualities as symmetries of the Supermembrane Theory

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• Double Field Theory at Order ${\alpha }^{\prime }$
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• 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
• Heterotic $\alpha$'-corrections in Double Field Theory
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• Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
• Gauge theory of Kaluza-Klein and winding modes
• Half-maximal supersymmetry from exceptional field theory
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Double Field Theory on Group Manifolds
• Non-associative Deformations of Geometry in Double Field Theory
• Generalized Metric Formulation of Double Field Theory on Group Manifolds
• An Action for F-theory: $\mathrm{SL}(2)\times {\mathbb{R}}^{+}$ Exceptional Field Theory
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Duality Symmetric String and M-Theory
• Effective actions of non-geometric fivebranes
• More stable dS vacua from S-dual non-geometric fluxes
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
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• U-duality extension of Drinfel'd double
• The Flux-Scaling Scenario: De Sitter Uplift and Axion Inflation
• Consistent Compactification of Double Field Theory on Non-geometric Flux Backgrounds
• Classical Yang-Baxter Equation from Supergravity
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• Algebroid Structures on Para-Hermitian Manifolds
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• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
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• Generalized Dualities and Higher Derivatives
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• Sigma models for genuinely non-geometric backgrounds
• Enhanced gauge symmetry and winding modes in Double Field Theory
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• The generalized Bergshoeff-de Roo identification II
• Flux Formulation of DFT on Group Manifolds and Generalized Scherk-Schwarz Compactifications
• Defect branes as Alice strings
• Yang-Baxter Deformation as an O(d,d) Transformation
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Dictionary for the type II nongeometric flux compactifications
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Non-Abelian T-duality as a Transformation in Double Field Theory
• A Note on the CFT Origin of the Strong Constraint of DFT
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• On current algebras, generalised fluxes and non-geometry
• Non-abelian U-duality at work
• Rigid nongeometric orientifolds and the swampland
• Perturbative Double Field Theory on General Backgrounds
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• On non-abelian U-duality of 11D backgrounds
• T-duality, Quotients and Currents for Non-Geometric Closed Strings
• ${\alpha }^{\prime }$-corrections and their double formulation
• U-gravity : $\mathbf{SL}(N)$
• Probing the String Winding Sector
• Extended Riemannian Geometry II: Local Heterotic Double Field Theory
• Doubled strings, negative strings and null waves
• Consistent Truncations and Dualities
• Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality
• Relaxing unimodularity for Yang-Baxter deformed strings
• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
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• Generalized 11D supergravity equations from tri-vector deformations
• DFT in supermanifold formulation and group manifold as background geometry
• Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
• The ${\alpha }^{\prime 2}$ correction from double field theory
• A geometric formulation of exceptional field theory
• Gauge Transformation of Double Field Theory for Open String
• Gauge symmetry enhancing-breaking from a Double Field Theory perspective
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• Massive Deformations of Type IIA Theory Within Double Field Theory
• String theory at order ${\alpha }^{\prime 2}$ and the generalized Bergshoeff-de Roo identification
• On Missing Bianchi Identities in Cohomology Formulation
• Codimension-2 Solutions in Five-Dimensional Supergravity
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• $O(D,D)$-constraint on $D$-dimensional effective actions
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• Gaugings and other aspects in supergravity
• $L_{\infty }$-algebras and membrane sigma models
• Exotic Aspects of Extended Field Theories