Duality in the Type--II Superstring Effective Action

Abstract

We derive the T-duality transformations that transform a general d=10 solution of the type-IIA string with one isometry to a solution of the type-IIB string with one isometry and vice versa. In contrast to other superstring theories, the T-duality transformations are not related to a non-compact symmetry of a d=9 supergravity theory. We also discuss S-duality in d=9 and d=10 and the relationship with eleven-dimensional supergravity theory. We apply these dualities to generate new solutions of the type IIA and type IIB superstrings and of eleven-dimensional supergravity.

Latex file. Several missprints in equations, some important and not yet corrected in the published version, have now been corrected. No changes in main results and conclusions. 43+1 pages, LaTeX file

References in corpus (8)

• Unity of Superstring Dualities
• Target Space Duality in String Theory
• An Introduction to T-Duality in String Theory
• Macroscopic superstrings as interpolating solitons
• Solution--Generating Transformations and the String Effective Action
• Exact Duality in String Effective Action
• On Target-Space Duality in p-Branes
• Search for Duality Symmetries in p-Brane Theories

Cited by in corpus (363)

• Heterotic and Type I String Dynamics from Eleven Dimensions
• Flux Compactification
• All supersymmetric solutions of minimal supergravity in five dimensions
• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Superstring Cosmology
• The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity
• Nongeometric Flux Compactifications
• U-duality and M-Theory
• Microscopic Formulation of Black Holes in String Theory
• Harmonic superpositions of M-branes
• Duality of Type II 7-branes and 8-branes
• New Supersymmetric String Compactifications
• Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
• Dualisation of Dualities, I
• Four Dimensional String/String/String Triality
• Supersymmetric AdS_5 solutions of M-theory
• Boundary States of D-Branes and Dy-Strings
• String Theory and Classical Absorption by Threebranes
• An Sl(2,Z) Multiplet of Nine-Dimensional Type II Supergravity Theories
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• Supersymmetric black rings and three-charge supertubes
• Black Holes and Solitons in String Theory
• Some Relationships Between Dualities in String Theory
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Differential geometry with a projection: Application to double field theory
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• On non-abelian T-dual geometries with Ramond fluxes
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• Overlapping Branes in M-Theory
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• Chaos in Superstring Cosmology
• Double Field Theory of Type II Strings
• Plane Wave Limits and T-Duality
• Entropy of 4D Extremal Black Holes
• Compactifications of Type IIB Strings to Four Dimensions with Non-trivial Classical Potential
• Non-Relativistic Superstrings: A New Soluble Sector of AdS_5xS^5
• Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I
• T-Duality: Topology Change from H-flux
• Fuzzballs with internal excitations
• Multiple Dp-branes in Weak Background Fields
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Comparing D-branes to Black-branes
• Hyper-Kahler manifolds and multiply-intersecting branes
• Unification of Type II Strings and T-duality
• Compactification with Flux on K3 and Tori
• Three-Dimensional Gauge Dynamics from Brane Configurations with (p,q)-Fivebrane
• Supersymmetric AdS_6 via T-duality
• D-brane Wess--Zumino actions, T-duality and the cosmological constant
• Supergravity and Large N Noncommutative Field Theories
• Heterotic Strings with Torsion
• D-branes and T-duality
• Abelian Yang-Baxter Deformations and TsT transformations
• More D-brane bound states
• Nonlocal Field Theories and their Gravity Duals
• Brane Constructions, Conifolds and M-Theory
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• AdS_5 x S^5 Untwisted
• Waves, boosted branes and BPS states in M-theory
• Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds
• Gravitational Duality, Branes and Charges
• Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold
• Kac-Moody Symmetries of IIB Supergravity
• Massive Branes
• String Dynamics at Strong Coupling
• The Symmetry of M-Theories
• Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
• T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
• Absorption of Fixed scalars and the D-brane Approach to Black Holes
• Cosmological Solutions of Type II String Theory
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• The Bekenstein Formula and String Theory (N-brane Theory)
• IIB Supergravity Revisited
• 5-branes, KK-monopoles and T-duality
• Deformation of Conifold and Intersecting Branes
• Nonlocal quantum gravity and M-theory
• Localized intersections of M5-branes and four-dimensional superconformal field theories
• Non-geometric backgrounds in string theory
• S Duality and Dyonic p-Brane Solutions in Type II String Theory
• Generating branes via sigma-models
• Massive Type II in Double Field Theory
• Non-Abelian T-duality and consistent truncations in type-II supergravity
• D-Brane Solutions in pp-wave Background
• SO(d,d) Transformations of Ramond-Ramond Fields and Space-time Spinors
• Euclidean-signature Supergravities, Dualities and Instantons
• Actions and Fermionic symmetries for D-branes in bosonic backgrounds
• Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity
• T-duality for open strings
• Composite BPS configurations of p-branes in 10 and 11 dimensions
• D3 Brane Action and Fermion Zero Modes in Presence of Background Flux
• Geometric Transitions, Flops and Non-Kahler Manifolds: I
• U-duality and non-BPS solutions
• Brane Worlds in Collision
• Brane Resolution Through Transgression
• Intersecting D-Branes in ten and six dimensions
• An alternative IIB embedding of F(4) gauged supergravity
• 7-Branes and Higher Kaluza-Klein Branes
• Seven-branes and Supersymmetry
• Consistent Warped-Space Kaluza-Klein Reductions, Half-Maximal Gauged Supergravities and CP^n Constructions
• Rotating Intersecting M-Branes
• Some Relations between Twisted K-theory and E8 Gauge Theory
• Supergravity pp-wave solutions with 28 and 24 supercharges
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Worldvolume Theories, Holography, Duality and Time
• On a supersymmetric completion of the R^4 term in IIB supergravity
• Type IIB Seven-brane Solutions from Nine-dimensional Domain Walls
• Duality Symmetric String and M-Theory
• Effective actions of non-geometric fivebranes
• Brane Effective Actions, Kappa-Symmetry and Applications
• Multiple Intersections of D-branes and M-branes
• Geometric Transition versus Cascading Solution
• On supergravity solutions of space-like Dp-branes
• Kaluza-Klein Monopoles and Gauged Sigma-Models
• Intersecting brane solutions in string and M-theory
• A Small Note on PP-Wave Vacua in 6 and 5 Dimensions
• Superstring Dualities
• Lunin-Maldacena Deformations With Three Parameters
• Weyl Group Invariance and p-brane Multiplets
• Counting supersymmetric branes
• Kaluza-Klein on the Brane
• An E9 multiplet of BPS states
• Phase Structure of Non-Commutative Field Theories and Spinning Brane Bound States
• D-Brane Solutions from New Isometries of pp-Waves
• Type IIB instanton as a wave in twelve dimensions
• A Multi-Boundary AdS Orbifold and DLCQ Holography: A universal holographic description of extremal black hole horizons
• Superdualities, Brane Tensions and Massive IIA/IIB Duality
• Non-threshold (F, Dp) bound states
• Heterotic Flux Compactifications and Their Moduli
• IIB supergravity and E10
• On the Dielectric Effect for Gravitational Waves
• The Eleven-Dimensional Five-Brane
• Supersymmetric Black Holes in $N=8$ Supergravity
• String theory dualities from M theory
• The many faces of OSp(1|32)
• Nonabelian Phenomena on D-branes
• Twisting Hermitian and hypercomplex geometries
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Higher Derivative Brane Couplings from T-Duality
• New angles on D-branes
• M-Theory and Stringy Corrections to Anti-de Sitter Black Holes and Conformal Field Theories
• T-Duality and Ramond-Ramond Backgrounds in the Matrix Model
• The general gaugings of maximal d=9 supergravity
• Matrix Strings in Weakly Curved Background Fields
• NS-NS fluxes in Hitchin's generalized geometry
• Holographic entanglement entropy in nonlocal theories
• A Matrix Model for the Null-Brane
• T-duality in Ramond-Ramond backgrounds
• Strings, Branes and Extra Dimensions
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• On dilaton dependence of type II superstring action
• A master exceptional field theory
• Supersymmetry Enhancement of D-p-branes and M-branes
• String Theory on Parallelizable PP-Waves
• Fermions on the Anti-Brane: Higher Order Interactions and Spontaneously Broken Supersymmetry
• T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in ${\alpha }^{\prime }$
• BPS-Saturated Bound States of Tilted P-Branes in Type II String Theory
• Holographic Noncommutativity
• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• Duality in String Theory
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Supersymmetry of Massive D=9 Supergravity
• Type IIB supergravity solution for the T-dual of the eta-deformed AdS_5 x S^5 superstring
• T-duality of anomalous Chern-Simons couplings
• Superstring Orientifolds with Torsion: O5 Orientifolds of Torus Fibrations and their Massless Spectra
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• Various Faces of Type IIA Supergravity
• Spinning and rotating strings for N=1 SYM theory and brane constructions
• $R^4$ terms in supergravities via T-duality constraint
• M5 on a torus and the three brane
• T-duality of the Green-Schwarz superstring
• Giants and loops in beta-deformed theories
• A New Fractional D2-brane, G_2 Holonomy and T-duality
• Statistical entropy of charged two-dimensional black holes
• Generalised chiral null models and rotating string backgrounds
• Properties of Intersecting p-branes in Various Dimensions
• Exploring Fermionic T-duality
• Time dependent supergravity solutions in arbitrary dimensions
• Space-Time Supersymmetry, IIA/B Duality and M-Theory
• Fluxbrane Inflation
• Timelike Hopf Duality and Type IIA^* String Solutions
• On Generalized Axion Reductions
• Non-threshold D-brane bound states and black holes with non-zero entropy
• Branes in Time-Dependent Backgrounds and AdS/CFT Correspondence
• Semi Localized Brane Intersections in SUGRA
• Open Dielectric Branes
• Warped Strings: Self-dual Flux and Contemporary Compactifications
• Some remarks on defects and T-duality
• Matrix Theory Reloaded: A BPS Road to Holography
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• D-brane Dualities as Canonical Transformations
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• Massive IIA supergravity from the topologically massive D-2-brane
• The linear spectrum of OSp(32|1) Chern-Simons supergravity in eleven dimensions
• S-matrix elements from T-duality
• The Gauge/String Correspondence Towards Realistic Gauge Theories
• Duality Symmetric Quantization of Superstring
• U-branes and T^3 fibrations
• Supergravity description of spacetime instantons
• Spectrum of Maxwell-Chern-Simons Theory Realized on Type IIB Brane
• Inhomogeneous Einstein-Rosen String Cosmology
• T-duality Covariance of SuperD-branes
• Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
• Towards the Classification of Non-Marginal Bound States of M-branes and Their Construction Rules
• Fermionic T-duality: A snapshot review
• Aspects of Puff Field Theory
• Properties of branes in curved spacetimes
• Modulating the phase structure of black D6 branes in canonical ensemble
• AdS and dS Braneworld Kaluza-Klein Reduction
• Glueballs, symmetry breaking and axionic strings in non-supersymmetric deformations of the Klebanov-Strassler background
• Near-Extremal Black Branes with n*3 Entropy Growth
• S-duality and Compactification of type IIB Superstring Action
• M-Theory Brane Deformations
• The Embedding of Superstring Backgrounds in Einstein Gravity
• Supergravity Description of the Large N Noncommutative Dipole Field Theories
• Supersymmetry and the Systematics of T-duality Rotations in Type-II Superstring Theories
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• Type II Duality Symmetries in Six Dimensions
• M-theory on `toric' G_2 cones and its type II reduction
• On integrable models from pp-wave string backgrounds
• D0-D8-F1 in Massive IIA SUGRA
• Thermal DBI action for the D3-brane at weak and strong coupling
• Democratic actions for type II supergravities
• On membrane interaction in matrix theory
• On the structure of composite black p-brane configurations and related black holes
• Torons and black hole entropy
• On the dualization of scalars into (d-2)-forms in supergravity. Momentum maps, R-symmetry and gauged supergravity
• The explicit form of the effective action for F1 and D-branes
• Massive T-duality in six dimensions
• Exact Type IIB Superstring Backgrounds
• T-duality of D-brane action at order ${\alpha }^{\prime }$ in bosonic string theory
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• Dynamical brane with angles : Collision of the universes
• Real fermionic symmetry in type II supergravity
• Relating Conifold Geometries to NS5-branes
• Gauged N=2 Supergravity in Nine-Dimensions and Domain Wall Solutions
• Geometric Transitions on non-Kaehler Manifolds
• Non-abelian T-duality of Pilch-Warner background
• Exotic polarizations of D2 branes and oblique vacua of (S)YM${}_{2+1}$
• M-theory duality and BPS-extended supergravity
• The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
• Hermitian D-brane solutions
• Supergravity in Twelve Dimension
• T-duality and Effective D-Brane Actions
• The Kaluza-Klein Monopole in a Massive IIA Background
• Symmetries for generating string cosmologies
• Spin(p+1,p+1) Covariant Dp-brane Bound States
• Supergravity Brane Cosmologies
• Non-Abelian black string solutions of N=(2,0),d=6 supergravity
• Generalized Dualities and Supergroups
• Non-extremal, ${\alpha }^{\prime }$-corrected black holes in 5-dimensional Heterotic Superstring Theory
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
• On D-brane action at order ${\alpha }^{\prime 2}$
• Fundamental branes and shock waves
• Some Algebraic Aspects of Half-BPS Bound States in M-Theory
• Superfield T-duality rules
• Aspects of M-Theory Brane Interactions and String Theory Symmetries
• Defects, Super-Poincaré line bundle and Fermionic T-duality
• U-duality p-Branes in Diverse Dimensions
• Supersymmetric AdS${}_5$ solutions of type IIB supergravity without D3 branes
• Killing spectroscopy of closed timelike curves
• Cosmological brane systems in warped spacetime
• K-Models and Type IIB Superstring Backgrounds
• D-Branes and Twelve Dimensions
• Beta, Dipole and Noncommutative Deformations of M-theory Backgrounds with One or More Parameters
• Intersecting Noncommutative D-branes and Baryons in Magnetic Fields
• Twelve-dimensional Effective Action and T-duality
• A non-Abelian Chern-Simons term for non-BPS D-branes
• Type 0 T-Duality and the Tachyon Coupling
• Novel Domain Wall and Minkowski Vacua of D=9 Maximal SO(2) Gauged Supergravity
• Confinement and the Short Type I' Flux Tube
• On the gauge invariance and coordinate transformations of non-Abelian D-brane actions
• Supergravity Solution for M5-brane Intersection
• T-duality and Differential K-Theory
• Recent developments in non-Abelian T-duality in string theory
• f(R) Theories of Supergravities and Pseudo-supergravities
• S-duality constraint on higher-derivative couplings
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• Geometry of type II common sector N=2 backgrounds
• Moduli fixing and T-duality in Type II brane gas models
• Fate of Z(N) walls in hot holographic QCD
• Intersecting non-SUSY $p$-brane with chargeless 0-brane as black $p$-brane
• On S-Duality of Toroidally Compactified Type IIB String Effective Action
• On M-Theory and the Symmetries of Type II String Effective Actions
• Dynamical F-strings intersecting D2-branes in type IIA supergravity
• Linear Dilaton Background and Fully Localized Intersecting Five-branes
• Toroidal Black Holes and T-duality
• S-matrix elements and covariant tachyon action in type 0 theory
• M-theory description of BPS string in 7-brane background
• On beta-deformations and Noncommutativity
• Spacetime-Filling Branes in Ten and Nine Dimensions
• T-duality in M-theory and supermembranes
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• Thermodynamics of (1+1) dilatonic black holes in global flat embedding scheme
• Gravity duals of 2d supersymmetric gauge theories
• Symmetries of string, M and F-theories
• Supersymmetric Kaluza-Klein reductions of M2 and M5-branes
• Dilatonic Domain Walls and Curved Intersecting Branes
• Charged Macroscopic type II Strings and their Networks
• Global existence problem in $T^3$-Gowdy symmetric IIB superstring cosmology
• Higher derivative corrections to DBI action at ${\alpha }^{\prime 2}$ order
• de Sitter Holography and Carrollian Brane Theories
• The supersymmetric black holes of N=8 supergravity
• Topological charges in SL(2,R) covariant massive 11-dimensional and Type IIB SUGRA
• On the Compactification of Type IIA String Theory
• (p,q)-Five Brane and (p,q)-String Solutions, their Bound State and its Near Horizon Limit
• Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications
• Topological BPS charges in 10 and 11-dimensional supergravity
• Non-Abelian T-duality for open strings
• Four-dimensional High-Branes as Intersecting D-Branes
• More on Four-Dimensional Extremal Black Holes
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$
• Emergence of the fuzzy horizon through gravitational collapse
• Geometric Aspects of D-branes and T-duality
• Populating the swampland: the case of U(1)^496 and E_8 x U(1)^248
• On the equivalence of bound state solutions
• DLCQ-M(atrix) Description of String Theory, and Supergravity
• Comments on the T-dual of the gravity dual of D5-branes on $S^3$
• On the Scalar Spectrum of the Y^{p,q} Manifolds
• On the M-theory description of supersymmetric gluodynamics
• Fractional D3-branes in diverse backgrounds
• T-dualising the Deformed and Resolved Conifold
• Dynamical angled brane
• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field
• Dynamics of D-brane Black Holes
• (p,q)-string in the wrapped supermembrane on 2-torus -- A classical analysis of the bosonic sector --
• Holographic duality and applications
• Aspects of electric-magnetic dualities in maximal supergravity
• The non-Abelian T-dual of Klebanov-Witten Background and its Penrose Limits
• S-Duality and Exact Type IIB Superstring Backgrounds
• Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and in Type II String Theories
• Dilaton coupling revisited
• Intersecting Membranes from Charged Macroscopic Strings
• The M five brane on a torus
• Phase Structure of Beta-deformed N=4 SYM on S^3 with Chemical Potentials
• Study of Early Universe in an M Theoretic Model
• Most General Spherically Symmetric M2-branes and Type IIB Strings
• Strings and D-branes in a supersymmetric magnetic flux background
• Distributed Systems of Intersecting Branes at Arbitrary Angles
• A Correspondence between Ricci-flat Kerr and Kaluza-Klein AdS Black Hole
• Plane-parallel waves as Jacobi-Lie models
• Ramond-Ramond Field Transformation
• Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories
• T-Duality For String in Horava-Lifshitz Gravity
• D-brane Bound States from Charged Macroscopic Strings
• Entropy of Black-Branes System and T-Duality
• Non-supersymmetric D1/D5, F/NS5 and closed string tachyon condensation
• Introduction to M Theory
• Agujeros negros clasicos y cuanticos en teoria de cuerdas
• A Computational Companion to Transient de Sitter and Quasi de Sitter States in SO(32) and E_8 X E_8 Heterotic String Theories I: Formalisms
• A Canonical Approach to Self-Duality of Dirichlet $3$-Brane
• Non-supersymmetric black holes with ${\alpha }^{\prime }$ corrections
• Some New Light-cone Time Dependent Solutions in Deformed pp-wave Backgrounds
• Mysterious Triality and the Exceptional Symmetry of Loop Spaces
• Kaehler forms and cosmological solutions in type II supergravities
• Towards a String Realization of the Dark Dimension via T-folds
• Non-Perturbative States in Superstring Theories
• D3-branes at angle in a linear dilaton pp-wave background
• (p,q)-string in matrix-regularized membrane and type IIB duality
• Gaugings and other aspects in supergravity
• Aspects of Gauge-Gravity Duality
• T-duality and dimensional reduction of S-brane solutions
• Branes, fermions, and superspace dualities
• Duality rules for more mixed-symmetry potentials