A Double Sigma Model for Double Field Theory

Abstract

We define a sigma model with doubled target space and calculate its background field equations. These coincide with generalised metric equation of motion of double field theory, thus the double field theory is the effective field theory for the sigma model.

26 pages, v1: 37 pages, v2: references added, v3: updated to match published version - background and detail of calculations substantially condensed, motivation expanded, refs added, results unchanged

References in corpus (25)

• Double Field Theory
• Doubled Geometry and T-Folds
• 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
• Double Field Theory of Type II Strings
• 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
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Background Field Equations for the Duality Symmetric String
• Moduli Stabilization in Non-Geometric Backgrounds
• Incorporation of fermions into double field theory
• Massive Type II in Double Field Theory
• Duality Invariance: From M-theory to Double Field Theory
• Boundary Terms in Generalized Geometry and doubled field theory
• Double field formulation of Yang-Mills theory
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• Connecting T-duality invariant theories
• The KK-Monopole/NS5-Brane in Doubled Geometry
• Double Field Theory for Double D-branes
• Quantum Mechanics of the Doubled Torus

Cited by in corpus (47)

• Exploring Double Field Theory
• On the Riemann Tensor in Double Field Theory
• Large Gauge Transformations in Double Field Theory
• Covariant action for a string in doubled yet gauged spacetime
• Comments on double field theory and diffeomorphisms
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Generalized gravity from modified DFT
• The Geometry, Branes and Applications of Exceptional Field Theory
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Towards an invariant geometry of double field theory
• A worldsheet supersymmetric Newton-Cartan string
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Local $\beta$-deformations and Yang-Baxter sigma model
• Remarks on the non-Riemannian sector in Double Field Theory
• Rotating string in doubled geometry with generalized isometries
• An O(D,D) Invariant Hamiltonian Action for the Superstring
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Five-brane actions in double field theory
• Double Field Theory Inspired Cosmology
• Cosmological ${\alpha }^{\prime }$-corrections from the functional renormalization group
• The Exceptional Sigma Model
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• A Lorentz invariant doubled worldsheet theory
• Defect branes as Alice strings
• Canonical formulation and conserved charges of double field theory
• A note on large gauge transformations in double field theory
• Aspects of the Doubled Worldsheet
• Doubling, T-Duality and Generalized Geometry: a Simple Model
• Exceptional M-brane sigma models and $\eta$-symbols
• Doubled strings, negative strings and null waves
• Born sigma model for branes in exceptional geometry
• Comparing Double String Theory Actions
• Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• Gauge Transformation of Double Field Theory for Open String
• U-duality in three and four dimensions
• Non-commutativity from the double sigma model
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Supergravity with Doubled Spacetime Structure
• Dimensional Reduction of the Generalized DBI
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• T-Dualities and Doubled Geometry of the Principal Chiral Model
• A Simple Model of Double Dynamics on Lie Groups
• Geometric Low-Energy Effective Action in a Doubled Spacetime