Doubled α'-Geometry

Abstract

We develop doubled-coordinate field theory to determine the α' corrections to the massless sector of oriented bosonic closed string theory. Our key tool is a string current algebra of free left-handed bosons that makes O(D,D) T-duality manifest. While T-dualities are unchanged, diffeomorphisms and b-field gauge transformations receive corrections, with a gauge algebra given by an α'-deformation of the duality-covariantized Courant bracket. The action is cubic in a double metric field, an unconstrained extension of the generalized metric that encodes the gravitational fields. Our approach provides a consistent truncation of string theory to massless fields with corrections that close at finite order in α'.

54 pages, v2: version published in JHEP

References in corpus (10)

• Double Field Theory
• Double Field Theory: A Pedagogical Review
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Differential geometry with a projection: Application to double field theory
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Untwisting the twistor superstring
• New superspaces/algebras for superparticles/strings

Cited by in corpus (129)

• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• T-duality and ${\alpha }^{\prime }$-corrections
• Double Field Theory at Order ${\alpha }^{\prime }$
• Covariant action for a string in doubled yet gauged spacetime
• On the null origin of the ambitwistor string
• Generalised geometry for string corrections
• Duality Invariant Cosmology to all Orders in ${\alpha }^{\prime }$
• Heterotic Effective Action and Duality Symmetries Revisited
• Heterotic $\alpha$'-corrections in Double Field Theory
• The Odd story of ${\alpha }^{\prime }$-corrections
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Duality Symmetric String and M-Theory
• Strings and Branes are Waves
• Factorization of Chiral String Amplitudes
• The Geometry, Branes and Applications of Exceptional Field Theory
• A Worldsheet Theory for Supergravity
• O$(d,d)$ covariant String Cosmology to all orders in ${\alpha }^{\prime }$
• Loops in exceptional field theory
• Non-perturbative de Sitter vacua via ${\alpha }^{\prime }$ corrections
• Tree-level amplitudes from the pure spinor superstring
• Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$
• Connections, Field Redefinitions and Heterotic Supergravity
• Boosting to BMS
• Quantum correction to generalized T-dualities
• Duality Invariance and Higher Derivatives
• T-duality Constraints on Higher Derivatives Revisited
• Duality constraints on effective actions
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• Amplitudes for left-handed strings
• Second order higher-derivative corrections in Double Field Theory
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• A master exceptional field theory
• Dual Double Field Theory
• Generalized Dualities and Higher Derivatives
• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• A String Theory Which Isn't About Strings
• Natural curvature for manifest T-duality
• Double Field Theory Inspired Cosmology
• Scattering Massive String Resonances through Field-Theory Methods
• Double Metric, Generalized Metric and ${\alpha }^{\prime }$-Geometry
• Higher Derivative Supergravities in Diverse Dimensions
• Connecting the ambitwistor and the sectorized heterotic strings
• On the curious spectrum of duality invariant higher-derivative gravity
• UV-Complete Gravity Amplitudes and the Triple Product
• $\mathcal{N}=1$ Supersymmetric Double Field Theory and the generalized Kerr-Schild Ansatz
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• The first ${\alpha }^{\prime }$-correction to homogeneous Yang-Baxter deformations using $O(d,d)$
• The complex null string, Galilean conformal algebra and scattering equations
• Worldsheet Formalism for Decoupling Limits in String Theory
• A Worldline Theory for Supergravity
• Background Independent Double Field Theory at Order ${\alpha }^{\prime }$: Metric vs. Frame-like Geometry
• Cosmology at the top of the ${\alpha }^{\prime }$ tower
• de Sitter, ${\alpha }^{\prime }$-Corrections & Duality Invariant Cosmology
• Enhanced gauge symmetry and winding modes in Double Field Theory
• T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm
• On Background Independence and Duality Invariance in String Theory
• The generalized Bergshoeff-de Roo identification II
• Field theory actions for ambitwistor string and superstring
• Non-singular pre-big bang scenarios from all-order ${\alpha }^{\prime }$ corrections
• Higher Derivative Corrections to O-plane Actions: NS-NS Sector
• Green-Schwarz Mechanism for String Dualities
• Chiral Closed strings: Four massless states scattering amplitude
• Cosmological Implications from O(D,D)
• T-duality equivalences beyond string theory
• The Color-Dual Fates of $F^3$, $R^3$, and $\mathcal{N}=4$ Supergravity
• Higher Gauge Structures in Double and Exceptional Field Theory
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• Perturbative Double Field Theory on General Backgrounds
• Are nonperturbative AdS vacua possible in bosonic string theory?
• T-duality, Quotients and Currents for Non-Geometric Closed Strings
• The $\beta$-symmetry of supergravity
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• ${\alpha }^{\prime }$-corrections and their double formulation
• U-gravity : $\mathbf{SL}(N)$
• Probing the String Winding Sector
• Extended Riemannian Geometry II: Local Heterotic Double Field Theory
• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• Three-point Functions in Duality-Invariant Higher-Derivative Gravity
• Comparing Double String Theory Actions
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• Completing $R^4$ using $O(d,d)$
• Chiral strings, the sectorized description and their integrated vertex operators
• Old Dualities and New Anomalies
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Towards a world-sheet description of doubled geometry in string theory
• A Note on Circle Compactification of Tensile Ambitwistor String
• One loop amplitude from null string
• Gauge Transformation of Double Field Theory for Open String
• The ${\alpha }^{\prime 2}$ correction from double field theory
• Closed String Partition Functions in Toroidal Compactifications of Doubled Geometries
• Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Dimensional Reduction of the Generalized DBI
• Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models
• An ${\alpha }^{\prime }$-complete theory of cosmology and its tensionless limit
• Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures
• T-dual Superstring Lagrangian with double zweibeins
• Gauge symmetry enhancing-breaking from a Double Field Theory perspective
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• Metastring Theory and Modular Space-time
• New Cosmological Signatures from Double Field Theory
• The Algebra of Diffeomorphisms from the World Sheet
• Asymmetrically twisted strings
• Twistors and supertwistors for exceptional field theory
• Dimensional reduction of higher derivative heterotic supergravity
• Deformed Weitzenböck Connections and Double Field Theory
• Non-geometric Five-branes in Heterotic Supergravity
• 2D Black Holes, Bianchi I Cosmologies, and ${\alpha }^{\prime }$
• Basis decompositions of genus-one string integrals
• Chiral Superstring and CHY Amplitude
• $O(D,D)$-constraint on $D$-dimensional effective actions
• Advanced tools for basis decompositions of genus-one string integrals
• Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials
• Classical worldvolumes as generalised geodesics
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Duality invariant string beta functions at two loops
• Massive strings from a haunted field theory
• Double Field Theory on Group Manifolds (Thesis)
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• A Weyl-invariant action for chiral strings and branes
• Renormalization of a Lorentz invariant doubled worldsheet theory
• Gravitational Core of Double Field Theory: Lecture Notes
• Duality Covariant Solutions in Extended Field Theories
• The Duality Symmetric String at Two-loops
• Chiral string theories as an interpolation between strings and particles
• Duality covariant field redefinitions
• Exotic Aspects of Extended Field Theories