Ramond-Ramond Cohomology and O(D,D) T-duality

Abstract

In the name of supersymmetric double field theory, superstring effective actions can be reformulated into simple forms. They feature a pair of vielbeins corresponding to the same spacetime metric, and hence enjoy double local Lorentz symmetries. In a manifestly covariant manner --with regard to O(D,D) T-duality, diffeomorphism, B-field gauge symmetry and the pair of local Lorentz symmetries-- we incorporate R-R potentials into double field theory. We take them as a single object which is in a bi-fundamental spinorial representation of the double Lorentz groups. We identify cohomological structure relevant to the field strength. A priori, the R-R sector as well as all the fermions are O(D,D) singlet. Yet, gauge fixing the two vielbeins equal to each other modifies the O(D,D) transformation rule to call for a compensating local Lorentz rotation, such that the R-R potential may turn into an O(D,D) spinor and T-duality can flip the chirality exchanging type IIA and IIB supergravities.

arXiv comment1+37 pages, no figure; Structure reorganized, References added, To appear in JHEP. cf. Gong Show of Strings 2012 (http://wwwth.mpp.mpg.de/members/strings/strings2012/strings_files/program/Talks/Thursday/Gongshow/Lee.pdf)

References in corpus (47)

• Double Field Theory
• Generalized metric formulation of double field theory
• E_11 and M Theory
• Background independent action for double field theory
• New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Supergravity as Generalised Geometry I: Type II Theories
• Double Field Theory and N=4 Gauged Supergravity
• Differential geometry with a projection: Application to double field theory
• T-duality, Generalized Geometry and Non-Geometric Backgrounds
• On non-abelian T-dual geometries with Ramond fluxes
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• Double Field Theory of Type II Strings
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• A ten-dimensional action for non-geometric fluxes
• Gauged Double Field Theory
• Duality Invariant Actions and Generalised Geometry
• SO(5,5) duality in M-theory and generalized geometry
• Unification of Type II Strings and T-duality
• The local symmetries of M-theory and their formulation in generalised geometry
• Double Field Theory Formulation of Heterotic Strings
• D-brane Wess--Zumino actions, T-duality and the cosmological constant
• A geometric action for non-geometric fluxes
• On the Riemann Tensor in Double Field Theory
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Generalized non-supersymmetric flux vacua
• Smeared versus localised sources in flux compactifications
• N=1 Supersymmetric Double Field Theory
• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• Incorporation of fermions into double field theory
• Massive Type II in Double Field Theory
• Duality Invariance: From M-theory to Double Field Theory
• SO(d,d) Transformations of Ramond-Ramond Fields and Space-time Spinors
• On the geometry of double field theory
• Boundary Terms in Generalized Geometry and doubled field theory
• Double field formulation of Yang-Mills theory
• Comments on T-dualities of Ramond-Ramond Potentials
• E11, generalised space-time and IIA string theory
• Connecting T-duality invariant theories
• A Double Sigma Model for Double Field Theory
• Generalised geometry, eleven dimensions and E11
• Double Field Theory for Double D-branes
• Invariances and Equations of Motion in Double Field Theory
• T-duality in Ramond-Ramond backgrounds
• Supersymmetry and the Systematics of T-duality Rotations in Type-II Superstring Theories
• Recent developments in non-Abelian T-duality in string theory

Cited by in corpus (69)

• 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
• 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
• M-theory and Type IIB from a Duality Manifest Action
• Comments on double field theory and diffeomorphisms
• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework
• 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
• Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
• U-geometry : SL(5)
• Generalized gravity from modified DFT
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Towards an invariant geometry of double field theory
• The geometry behind double geometry
• Einstein Double Field Equations
• U-duality covariant gravity
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Local $\beta$-deformations and Yang-Baxter sigma model
• $\mathbf{O}(D,D)$ Covariant Noether Currents and Global Charges in Double Field Theory
• Extended geometries
• Exotic branes and non-geometric fluxes
• Superspace with manifest T-duality from type II superstring
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• Remarks on the non-Riemannian sector in Double Field Theory
• An O(D,D) Invariant Hamiltonian Action for the Superstring
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• The rotation curve of a point particle in stringy gravity
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• SL(5) duality from canonical M2-brane
• Ramond-Ramond gauge fields in superspace with manifest T-duality
• Five-brane actions in double field theory
• M5 algebra and SO(5,5) duality
• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• Weaving the Exotic Web
• Non-Riemannian isometries from double field theory
• Double supergeometry
• Conserved Currents of Double Field Theory
• Supersymmetric gauged Double Field Theory: Systematic derivation by virtue of \textit{Twist}
• Standard Model as a Double Field Theory
• Canonical formulation and conserved charges of double field theory
• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• A note on large gauge transformations in double field theory
• Yang-Baxter deformations and generalized supergravity -- A short summary
• ${\alpha }^{\prime }$-corrections and their double formulation
• U-gravity : $\mathbf{SL}(N)$
• Type II chiral affine Lie algebras and string actions in doubled space
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• Non-abelian fermionic T-duality in supergravity
• Generalized Dualities and Supergroups
• On the phase space in Double Field Theory
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections
• Stringy Newton Gravity with $H$-flux
• Type II Double Field Theory in Superspace
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• Metric Algebroid and Poisson-Lie T-duality in DFT
• Higher Spin Double Field Theory : A Proposal
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Notes on Ramond-Ramond spinors and bispinors in double field theory
• Poisson-Lie T-plurality for dressing cosets
• Reductions of Exceptional Field Theories
• Late-time Cosmology without Dark Sector but with Closed String Massless Sector
• Gravitational Core of Double Field Theory: Lecture Notes
• Double Field Theory and Pseudo-Supersymmetry
• Double space T-dualization and coordinate dependent RR