Double Field Theory and N=4 Gauged Supergravity

Abstract

Double Field Theory describes the NS-NS sector of string theory and lives on a doubled spacetime. The theory has a local gauge symmetry generated by a generalization of the Lie derivative for doubled coordinates. For the action to be invariant under this symmetry, a differential constraint is imposed on the fields and gauge parameters, reducing their possible dependence in the doubled coordinates. We perform a Scherk-Schwarz reduction of Double Field Theory, yielding electric gaugings of half-maximal supergravity in four dimensions when integrability conditions are assumed. The residual symmetries of the compactified theory are mapped with the symmetries of the effective theory and the differential constraints of Double Field Theory are compared with the algebraic conditions on the embedding tensor. It is found that only a weaker form of the differential constraint has to be imposed on background fields to ensure the local gauge symmetry of the reduced action.

25 pages; v2: typos corrected, published version

References in corpus (21)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Supergravity as Generalised Geometry I: Type II Theories
• A field-theory motivated approach to symbolic computer algebra
• Differential geometry with a projection: Application to double field theory
• Lectures on Gauged Supergravity and Flux Compactifications
• Double Field Theory of Type II Strings
• Stringy differential geometry, beyond Riemann
• A ten-dimensional action for non-geometric fluxes
• Gauged N=4 supergravities
• Unification of Type II Strings and T-duality
• Double Field Theory Formulation of Heterotic Strings
• The effective action of Double Field Theory
• Incorporation of fermions into double field theory
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• Massive Type II in Double Field Theory
• Double Field Theory, T-Duality, and Courant Brackets
• How to halve maximal supergravity
• Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin
• E11, generalised space-time and IIA string theory; the R-R sector
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation

Cited by in corpus (166)

• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Exploring Double Field Theory
• Doubled α'-Geometry
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions
• Extended geometry and gauged maximal supergravity
• A geometric action for non-geometric fluxes
• On the Riemann Tensor in Double Field Theory
• Exotic Branes in String Theory
• Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity
• Large Gauge Transformations in Double Field Theory
• T-duality and ${\alpha }^{\prime }$-corrections
• Double Field Theory at Order ${\alpha }^{\prime }$
• Covariant action for a string in doubled yet gauged spacetime
• Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
• Non-Geometric Fluxes in Supergravity and Double Field Theory
• N=1 Supersymmetric Double Field Theory
• Comments on double field theory and diffeomorphisms
• Geometry and fluxes of SL(5) exceptional field theory
• Kerr-Schild Double Field Theory and Classical Double Copy
• Doubled aspects of generalised dualities and integrable deformations
• 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
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Heterotic $\alpha$'-corrections in Double Field Theory
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• The Odd story of ${\alpha }^{\prime }$-corrections
• Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
• 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
• Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
• 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
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Duality Symmetric String and M-Theory
• Generalized gravity from modified DFT
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Strings and Branes are Waves
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their minimal consistent truncations from exceptional field theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Double Field Theory and Membrane Sigma-Models
• A Double Sigma Model for Double Field Theory
• Towards an invariant geometry of double field theory
• Non-geometric branes are DFT monopoles
• Poisson-Lie U-duality in Exceptional Field Theory
• U-duality extension of Drinfel'd double
• Generalised Scherk-Schwarz reductions from gauged supergravity
• The geometry behind double geometry
• Consistent Compactification of Double Field Theory on Non-geometric Flux Backgrounds
• U-duality covariant gravity
• Matrix theory origins of non-geometric fluxes
• E${}_{6(6)}$ Exceptional Drinfel'd Algebras
• Generalised Kinematics for Double Field Theory
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Algebroid Structures on Para-Hermitian Manifolds
• A new twist on heterotic string compactifications
• Consistent Pauli reduction on group manifolds
• Exceptional Flux Compactifications
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• An O(D,D) Invariant Hamiltonian Action for the Superstring
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• Dual Double Field Theory
• E${}_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB
• Generalized Dualities and Higher Derivatives
• Dualising consistent IIA / IIB truncations
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Double Field Theory Inspired Cosmology
• Double Field Theory at SL(2) angles
• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• Weaving the Exotic Web
• O(d+1,d+1) enhanced double field theory
• Exploring Exceptional Drinfeld Geometries
• Conserved Currents of Double Field Theory
• Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free
• Supersymmetric gauged Double Field Theory: Systematic derivation by virtue of \textit{Twist}
• Sigma models for genuinely non-geometric backgrounds
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Enhanced gauge symmetry and winding modes in Double Field Theory
• Para-Hermitian Geometries for Poisson-Lie Symmetric $\sigma$-models
• The generalized Bergshoeff-de Roo identification II
• Flux Formulation of DFT on Group Manifolds and Generalized Scherk-Schwarz Compactifications
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Yang-Baxter Deformation as an O(d,d) Transformation
• Standard Model as a Double Field Theory
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Canonical formulation and conserved charges of double field theory
• A Note on the CFT Origin of the Strong Constraint of DFT
• Non-Abelian T-duality as a Transformation in Double Field Theory
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Dictionary for the type II nongeometric flux compactifications
• On current algebras, generalised fluxes and non-geometry
• Rigid nongeometric orientifolds and the swampland
• A note on large gauge transformations in double field theory
• Implementing odd-axions in dimensional oxidation of non-geometric type IIB action
• Perturbative Double Field Theory on General Backgrounds
• Aspects of the Doubled Worldsheet
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Generalized Parallelizable Spaces from Exceptional Field Theory
• Gaugings from E7 Extended Geometries
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• U-gravity : $\mathbf{SL}(N)$
• A symplectic rearrangement of the four dimensional non-geometric scalar potential
• New gaugings and non-geometry
• Probing the String Winding Sector
• On modular completion of generalized flux orbits
• Consistent Truncations and Dualities
• Particle actions and brane tensions from double and exceptional geometry
• Symplectic formulation of the type IIA nongeometric scalar potential
• Generalized Dualities and Supergroups
• Towards Weakly Constrained Double Field Theory
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• On stable type IIA de-Sitter vacua with geometric flux
• Consistent truncations to 3-dimensional supergravity
• Maximal D=2 supergravities from higher dimensions
• The bosonic string on string-size tori from double field theory
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• DFT in supermanifold formulation and group manifold as background geometry
• Gauge Transformation of Double Field Theory for Open String
• The ${\alpha }^{\prime 2}$ correction from double field theory
• New Cosmological Signatures from Double Field Theory
• Gauge symmetry enhancing-breaking from a Double Field Theory perspective
• Massive Deformations of Type IIA Theory Within Double Field Theory
• On Inflation and de Sitter in Non-Geometric String Backgrounds
• Dimensional Reduction of the Generalized DBI
• Double Field Theory description of Heterotic gauge symmetry enhancing-breaking
• U-dualities in Type II string theories and M-theory
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• BRST symmetry of doubled membrane sigma-models
• $O(D,D)$-constraint on $D$-dimensional effective actions
• Symmetry enhancement interpolation, non-commutativity and Double Field Theory
• Taxonomy of scalar potential with U-dual fluxes
• Gauged Supergravities and the Physics of Extra Dimensions
• Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials
• The Algebroid Structure of Double Field Theory
• Non-geometric Q-flux in ten dimensions
• Higher Spin Double Field Theory : A Proposal
• Poisson-Lie T-plurality for dressing cosets
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
• Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds
• Dualising consistent truncations
• Gauge field fluxes and Bianchi identities in extended field theories
• Double Field Theory and Pseudo-Supersymmetry
• Supergravity solution-generating techniques and canonical transformations of $\sigma$-models from $O(D,D)$
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$
• Duality Covariant Solutions in Extended Field Theories
• Extended Field Theories as higher Kaluza-Klein theories
• Half-maximal Extended Drinfel'd Algebras
• Gaugings and other aspects in supergravity
• Non-geometric fluxes and mixed-symmetry potentials
• Duality covariant field redefinitions
• A T-Fold Black Hole in Doubled Type IIB
• On spectator dependence of Jacobi-Lie T-plurality
• More Stringy Effects in Target Space from Double Field Theory
• Duality phases and halved maximal D=4 supergravity