Gauged Double Field Theory

Abstract

We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but not necessary. We then analyze compactifications of DFT on twisted double tori satisfying the consistency conditions. The effective theory is a Gauged DFT where the gaugings come from the duality twists. The action, bracket, global symmetries, gauge symmetries and their closure are computed by twisting their analogs in the higher dimensional DFT. The non-Abelian heterotic string and lower dimensional gauged supergravities are particular examples of Gauged DFT.

Minor changes, references added

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Cited by in corpus (139)

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• Extended geometry and gauged maximal supergravity
• Exotic Branes in String Theory
• Large Gauge Transformations in Double Field Theory
• Double Field Theory at Order ${\alpha }^{\prime }$
• Covariant action for a string in doubled yet gauged spacetime
• Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds
• Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
• Generalised geometry for string corrections
• Exceptional field theory: $SL(5)$
• Geometry and fluxes of SL(5) exceptional field theory
• Comments on double field theory and diffeomorphisms
• Doubled aspects of generalised dualities and integrable deformations
• Kerr-Schild Double Field Theory and Classical Double Copy
• 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
• 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
• The exceptional story of massive IIA supergravity
• 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
• An Action for F-theory: $\mathrm{SL}(2)\times {\mathbb{R}}^{+}$ Exceptional Field Theory
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• Generalized Metric Formulation of Double Field Theory on Group Manifolds
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Generalized gravity from modified DFT
• Strings and Branes are Waves
• The Geometry, Branes and Applications of Exceptional Field Theory
• Non-geometric branes are DFT monopoles
• Towards an invariant geometry of double field theory
• U-duality extension of Drinfel'd double
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Consistent Compactification of Double Field Theory on Non-geometric Flux Backgrounds
• Generalized IIB supergravity from exceptional field theory
• U-duality covariant gravity
• Matrix theory origins of non-geometric fluxes
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• A new twist on heterotic string compactifications
• Supersymmetric Backgrounds and Generalised Special Holonomy
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• An O(D,D) Invariant Hamiltonian Action for the Superstring
• Dual Double Field Theory
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• SL(5) duality from canonical M2-brane
• Generalized Dualities and Higher Derivatives
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Canonical approach to Courant brackets for D-branes
• M5 algebra and SO(5,5) duality
• Double Field Theory at SL(2) angles
• Double Field Theory Inspired Cosmology
• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• Weaving the Exotic Web
• Exploring Exceptional Drinfeld Geometries
• Conserved Currents of Double Field Theory
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Supersymmetric gauged Double Field Theory: Systematic derivation by virtue of \textit{Twist}
• Generalised Space-time and Gauge Transformations
• Enhanced gauge symmetry and winding modes in Double Field Theory
• The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions
• Flux Formulation of DFT on Group Manifolds and Generalized Scherk-Schwarz Compactifications
• The generalized Bergshoeff-de Roo identification II
• Para-Hermitian Geometries for Poisson-Lie Symmetric $\sigma$-models
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• On the exceptional generalised Lie derivative for $d\ge 7$
• Yang-Baxter Deformation as an O(d,d) Transformation
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Canonical formulation and conserved charges of double field theory
• 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
• A Note on the CFT Origin of the Strong Constraint of DFT
• Rigid nongeometric orientifolds and the swampland
• A note on large gauge transformations in double field theory
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Doubled Aspects of Vaisman Algebroid and Gauge Symmetry in Double Field Theory
• Aspects of the Doubled Worldsheet
• Lobotomy of Flux Compactifications
• Gaugings from E7 Extended Geometries
• Black hole thermodynamics, stringy dualities and double field theory
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• ${\alpha }^{\prime }$-corrections and their double formulation
• A symplectic rearrangement of the four dimensional non-geometric scalar potential
• U-gravity : $\mathbf{SL}(N)$
• Doubled strings, negative strings and null waves
• Probing the String Winding Sector
• On modular completion of generalized flux orbits
• Relaxing unimodularity for Yang-Baxter deformed strings
• Symplectic formulation of the type IIA nongeometric scalar potential
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• Particle actions and brane tensions from double and exceptional geometry
• On stable type IIA de-Sitter vacua with geometric flux
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• Consistent truncations to 3-dimensional supergravity
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
• Maximal D=2 supergravities from higher dimensions
• The bosonic string on string-size tori from double field theory
• The ${\alpha }^{\prime 2}$ correction from double field theory
• A geometric formulation of exceptional field theory
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• Generalized 11D supergravity equations from tri-vector deformations
• Seeking de-Sitter Vacua in the String Landscape
• DFT in supermanifold formulation and group manifold as background geometry
• U-duality in three and four dimensions
• Massive Deformations of Type IIA Theory Within Double Field Theory
• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• Dimensional Reduction of the Generalized DBI
• Gauge symmetry enhancing-breaking from a Double Field Theory perspective
• Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models
• Double Field Theory description of Heterotic gauge symmetry enhancing-breaking
• Taxonomy of scalar potential with U-dual fluxes
• Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials
• Higher Spin Double Field Theory : A Proposal
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Poisson-Lie T-plurality for dressing cosets
• Reductions of Exceptional Field Theories
• Extended Doubled Structures of Algebroids for Gauged Double Field Theory
• Gravitational Core of Double Field Theory: Lecture Notes
• Double Field Theory and Pseudo-Supersymmetry
• Reading-off the non-geometric scalar potentials with U-dual fluxes
• Yang-Mills sources in biconformal gravity
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• Systematic exploration of the non-geometric flux landscape
• Duality phases and halved maximal D=4 supergravity
• A T-Fold Black Hole in Doubled Type IIB