Double Field Theory of Type II Strings

Abstract

We use double field theory to give a unified description of the low energy limits of type IIA and type IIB superstrings. The Ramond-Ramond potentials fit into spinor representations of the duality group O(D,D) and field-strengths are obtained by acting with the Dirac operator on the potentials. The action, supplemented by a Spin^+(D,D)-covariant self-duality condition on field strengths, reduces to the IIA and IIB theories in different frames. As usual, the NS-NS gravitational variables are described through the generalized metric. Our work suggests that the fundamental gravitational variable is a hermitian element of the group Spin(D,D) whose natural projection to O(D,D) gives the generalized metric.

63 pages, v2: minor corrections, to appear in JHEP

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Cited by in corpus (146)

• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
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• Double Field Theory and N=4 Gauged Supergravity
• Exceptional Field Theory III: E${}_{8(8)}$
• The gauge structure of generalised diffeomorphisms
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• Doubled α'-Geometry
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Unification of Type II Strings and T-duality
• The local symmetries of M-theory and their formulation in generalised geometry
• Extended geometry and gauged maximal supergravity
• On the Riemann Tensor in Double Field Theory
• Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity
• Large Gauge Transformations in Double Field Theory
• 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
• The effective action of Double Field Theory
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• N=1 Supersymmetric Double Field Theory
• 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
• Doubled aspects of generalised dualities and integrable deformations
• Incorporation of fermions into double field theory
• Ramond-Ramond Cohomology and O(D,D) T-duality
• The O_{D,D} Geometry of String Theory
• Heterotic $\alpha$'-corrections in Double Field Theory
• Massive Type II in Double Field Theory
• Duality Invariance: From M-theory to 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
• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
• Gauge theory of Kaluza-Klein and winding modes
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• Half-maximal supersymmetry from exceptional field theory
• U-geometry : SL(5)
• Non-associative Deformations of Geometry in Double Field Theory
• Duality Symmetric String and M-Theory
• Generalized gravity from modified DFT
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• A Double Sigma Model for Double Field Theory
• Towards an invariant geometry of double field theory
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• A worldsheet supersymmetric Newton-Cartan string
• Einstein Double Field Equations
• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
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• Extended geometries
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• Non-Riemannian geometry of M-theory
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• SL(5) duality from canonical M2-brane
• Generalized Dualities and Higher Derivatives
• E${}_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB
• Five-brane actions in double field theory
• Double Field Theory at SL(2) angles
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• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• Weaving the Exotic Web
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• Double supergeometry
• E8 duality and dual gravity
• Conserved Currents of Double Field Theory
• Timelike U-dualities in Generalised Geometry
• Defect branes as Alice strings
• Yang-Baxter Deformation as an O(d,d) Transformation
• Canonical formulation and conserved charges of double field theory
• Non-Abelian T-duality as a Transformation in Double Field Theory
• The Worldsheet Perspective of T-duality Symmetry in String Theory
• Cosmological Implications from O(D,D)
• A note on large gauge transformations in double field theory
• Aspects of the Doubled Worldsheet
• U-gravity : $\mathbf{SL}(N)$
• ${\alpha }^{\prime }$-corrections and their double formulation
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Exotic Dual of Type II Double Field Theory
• Doubled strings, negative strings and null waves
• T-duality Transformation of Gauged Linear Sigma Model with F-term
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• Equations of Motion in Double Field Theory: From Particles to Scale Factors
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• Duality Twisted Reductions of Double Field Theory of Type II Strings
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• Open exceptional strings and D-branes
• Towards Weakly Constrained Double Field Theory
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Exploring the geometry of supersymmetric double field theory
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
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• Generalized 11D supergravity equations from tri-vector deformations
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• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Metric algebroid and Dirac generating operator in Double Field Theory
• Stringy Newton Gravity with $H$-flux
• T-duality constraint on R-R couplings
• Type II Double Field Theory in Superspace
• Fermionic T-duality of DFT
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
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• T-dual RR couplings on D-branes from S-matrix elements
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• Metric Algebroid and Poisson-Lie T-duality in DFT
• Integrability structures in string theory
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• Reductions of Exceptional Field Theories
• Open F-branes
• World-volume Effective Theories of Locally Non-geometric Branes
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$
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• The many facets of exceptional field theory
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• Double Field Theory and Pseudo-Supersymmetry
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• Exotic Aspects of Extended Field Theories
• Duality rules for more mixed-symmetry potentials
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• Non-geometric fluxes and mixed-symmetry potentials