An Sl(2,Z) Multiplet of Nine-Dimensional Type II Supergravity Theories

Abstract

We show that only by performing generalized dimensional reductions all possible brane configurations are taken into account and one gets the complete lower-dimensional theory. We apply this idea to the reduction of type IIB supergravity in an SL(2,R)-covariant way and establish T duality for the type II superstring effective action in the context of generalized dimensional reduction giving the corresponding generalized Buscher's T duality rules. The full (generalized) dimensional reduction involves all the S duals of D-7-branes: Q-7-branes and a sort of composite 7-branes. The three species constitute an SL(2,Z) triplet. Their presence induces the appearance of the triplet of masses of the 9-dimensional theory. The T duals, including a ``KK-8A-brane'', which must have a compact transverse dimension have to be considered in the type IIA side. Compactification of 11-dimensional KK-9M-branes (a.k.a. M-9-branes) on the compact transverse dimension give D-8-branes while compactification on a worldvolume dimension gives KK-8A-branes. The presence of these KK-monopole-type objects breaks translation invariance and two of them given rise to an SL(2,R)-covariant ``massive 11-dimensional supergravity'' whose reduction gives the massive 9-dimensional type II theories.

Latex2e file, 61 pages, 4 eps figures. Version to appear in Nuclear Physics B. Some fields redefined for convenience and some references added or changed

References in corpus (13)

• D=10, N=IIB Supergravity: Lorentz-invariant actions and duality
• Open string - string junction transitions
• Intersections involving waves and monopoles in eleven dimensions
• No Cosmological D=11 Supergravity
• Multiple Intersections of D-branes and M-branes
• Kaluza-Klein Monopoles and Gauged Sigma-Models
• Extremality Versus Supersymmetry in Stringy Black Holes
• Classification of p-branes, NUTs, Waves and Intersections
• A Note on the D-2-Brane of the Massive Type IIA Theory and Gauged Sigma Models
• Eleven Dimensions from the Massive D-2-brane
• Uniqueness of D=11 Supergravity
• Unwinding strings and T-duality of Kaluza-Klein and H-Monopoles
• D=11 Supergravity Revisited

Cited by in corpus (168)

• Nongeometric Flux Compactifications
• U-duality and M-Theory
• Lax Pair for Strings in Lunin-Maldacena Background
• New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
• Duality Twists, Orbifolds, and Fluxes
• The O(dd) Story of Massive Supergravity
• More Dual Fluxes and Moduli Fixing
• Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I
• The E_{11} origin of all maximal supergravities
• Gauge Dual and Noncommutative Extension of an N=2 Supergravity Solution
• Heterotic Strings with Torsion
• Exotic Branes in String Theory
• T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
• Three Charge Supertubes and Black Hole Hair
• IIB Supergravity Revisited
• 5-branes, KK-monopoles and T-duality
• Non-geometric backgrounds in string theory
• String Solitons and T-duality
• Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications
• D3 Brane Action and Fermion Zero Modes in Presence of Background Flux
• (Non-)Abelian Gauged Supergravities in Nine Dimensions
• E(11)-extended spacetime and gauged supergravities
• Defect Branes
• Geometric Transitions, Flops and Non-Kahler Manifolds: I
• The exceptional story of massive IIA supergravity
• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• Flux Compactifications of String Theory on Twisted Tori
• 7-Branes and Higher Kaluza-Klein Branes
• Seven-branes and Supersymmetry
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Schrödinger geometries arising from Yang-Baxter deformations
• From D3-Branes to Lifshitz Space-Times
• Dual fields and E_{11}
• Type IIB Seven-brane Solutions from Nine-dimensional Domain Walls
• Effective actions of non-geometric fivebranes
• Brane Effective Actions, Kappa-Symmetry and Applications
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• The D8-Brane Tied up: String and Brane Solutions in Massive Type IIA Supergravity
• The Bianchi Classification of Maximal D=8 Gauged Supergravities
• An Orientifold with Fluxes and Branes via T-duality
• Branes and wrapping rules
• World-volume Effective Actions of Exotic Five-branes
• IIB supergravity and E10
• Exotic Branes and Nonperturbative Seven Branes
• Heterotic Flux Compactifications and Their Moduli
• Transient Quintessence from Group Manifold Reductions or how all roads lead to Rome
• Compactifications with S-Duality Twists
• Nonabelian Phenomena on D-branes
• Generalized Compactification and Assisted Dynamics of Multi--Scalar Field Cosmologies
• Duality constraints on effective actions
• T-duality of curvature terms in D-brane actions
• Exotic branes and non-geometric fluxes
• The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin
• Dual D-Brane Actions in Nonrelativistic String Theory
• The general gaugings of maximal d=9 supergravity
• Ramond-Ramond field strength couplings on D-branes
• $P$ fluxes and exotic branes
• M-theory and Gauged Supergravities
• Non-extremal D-instantons
• T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in ${\alpha }^{\prime }$
• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• Duality symmetric massive type II theories in D=8 and D=6
• On d=4,5,6 Vacua with 8 Supercharges
• Supersymmetry of Massive D=9 Supergravity
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• T-duality of anomalous Chern-Simons couplings
• The General, Duality-Invariant Family of Non-BPS Black-Hole Solutions of N=4, d=4 Supergravity
• Weaving the Exotic Web
• Q7-branes and their coupling to IIB supergravity
• IIB Nine-branes
• T-Duality, and the K-Theoretic Partition Function of TypeIIA Superstring Theory
• A brief review of E theory
• Fluxbrane Inflation
• Local E(11)
• E_{11}, ten forms and supergravity
• Gauged D=9 Supergravities and Scherk-Schwarz Reduction
• Defect branes as Alice strings
• S-matrix elements from T-duality
• Massive Dualities in Six Dimensions
• Higher dimensional conformal field theories in the Coulomb branch
• M5-brane geometries, T-duality and fluxes
• Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
• An Sl(3,R) multiplet of 8-dimensional type II supergravity theories and the gauged supergravity inside
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• A black hole instability in five dimensions?
• Godel Spacetimes, Abelian Instantons, the Graviphoton Background and other Flacuum Solutions
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• On T-folds, G-structures and Supersymmetry
• On the dualization of scalars into (d-2)-forms in supergravity. Momentum maps, R-symmetry and gauged supergravity
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Backreacted T-folds and non-geometric regions in configuration space
• Massive T-duality in six dimensions
• Branched SL(2,Z) Duality
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• Non-commutative Branes from M-theory
• Supermembrane origin of type II gauged supergravities in 9D
• Geometric Transitions on non-Kaehler Manifolds
• On Seven-Brane and Instanton Solutions of Type IIB
• T-duality of D-brane action at order ${\alpha }^{\prime }$ in bosonic string theory
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• Non-abelian T-duality of Pilch-Warner background
• Gauged N=2 Supergravity in Nine-Dimensions and Domain Wall Solutions
• The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
• A 10-form Gauge Potential and an M-9-brane Wess-Zumino Action in Massive 11D Theory
• The Kaluza-Klein Monopole in a Massive IIA Background
• Romans type IIA theory and the heterotic strings
• Non-Abelian black string solutions of N=(2,0),d=6 supergravity
• Non-extremal, ${\alpha }^{\prime }$-corrected black holes in 5-dimensional Heterotic Superstring Theory
• Stringy cosmic strings in matter coupled N=2, d=4 supergravity
• Local E(11) and the gauging of the trombone symmetry
• On D-brane action at order ${\alpha }^{\prime 2}$
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• Supersymmetric brane actions from interpolating dualisations
• Nonperturbative SL(2,Z) (p,q)-strings manifestly realized on the quantum M2
• Domain Walls and the Creation of Strings
• A non-Abelian Chern-Simons term for non-BPS D-branes
• The tensor hierarchy of 8-dimensional field theories
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• S-duality constraint on higher-derivative couplings
• O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength
• T-duality and Differential K-Theory
• Gauged/Massive Supergravities in Diverse Dimensions
• T-duality and the case of the disappearing brane
• Type 0 T-Duality and the Tachyon Coupling
• Novel Domain Wall and Minkowski Vacua of D=9 Maximal SO(2) Gauged Supergravity
• Qualitative Analysis of Isotropic Curvature String Cosmologies
• Non-trivial extension of the Poincaré algebra for antisymmetric gauge fields
• T-duality constraint on R-R couplings
• Topologican Gauging of N=16 Supergravity in Three-Dimensions
• Spacetime-Filling Branes in Ten and Nine Dimensions
• A note on half-supersymmetric bound states in M-theory and type IIA
• Five-brane Current Algebras in Type II String Theories
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• Dilatonic Domain Walls and Curved Intersecting Branes
• Supergravities with Minkowski x Sphere Vacua
• Higher derivative corrections to DBI action at ${\alpha }^{\prime 2}$ order
• Topological BPS charges in 10 and 11-dimensional supergravity
• Maximal Nine Dimensional Supergravity, General gaugings and the Embedding Tensor
• Notophs of N = 8 supergravity
• Topological charges in SL(2,R) covariant massive 11-dimensional and Type IIB SUGRA
• The Massive Supermembrane on a Knot
• Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications
• Geometric Aspects of D-branes and T-duality
• On the equivalence of bound state solutions
• Brane plus Bulk Supersymmetry in Ten Dimensions
• Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization
• Structure constants of $\beta$ deformed super Yang-Mills
• S-Duality, SL(2,Z) Multiplets and Killing Spinors
• Geometric U-folds in four dimensions
• On the Algebraic K-theory of The Massive D8 and M9 Branes
• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field
• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra
• (p,q)-string in the wrapped supermembrane on 2-torus -- A classical analysis of the bosonic sector --
• Superfield T-duality rules in ten dimensions with one isometry
• Dilaton coupling revisited
• On gauged maximal d=8 supergravities
• Agujeros negros clasicos y cuanticos en teoria de cuerdas
• Duality rules for more mixed-symmetry potentials
• Wrapped supermembrane on vanishing 2-torus
• Kaehler forms and cosmological solutions in type II supergravities
• Supergravity Duals to the Noncommutative N=4 SYM theory in the Infinite Momentum Frame
• Yang-Baxter deformations and string dualities
• Gaugings and other aspects in supergravity
• Scaling Cosmologies from Duality Twisted Compactifications
• From ${\mathrm{AdS}}_5$ to ${\mathrm{AdS}}_3$: TsT deformations, Magnetic fields and Holographic RG Flows
• Multiple fundamental strings and waves to non-linear order in the background fields
• (p,q)-string in matrix-regularized membrane and type IIB duality