A Lorentz invariant doubled worldsheet theory

Abstract

We propose a Lorentz invariant version of Tseytlin's doubled worldsheet theory that makes T-duality covariance of the string manifest. This theory can be derived as a gauge fixed version of Buscher's gauging procedure, in which the left-over gauge field component acts as a Lagrange multiplier. This description can naturally account for fractional linear O(D,D) transformations of the metric and b-field. It is capable of describing non-geometric backgrounds; geometric and non-geometric fluxes are encoded in the doubled anti-symmetric tensor field strength.

4 pages LaTeX, no figures, discussion of path integral quantization included

References in corpus (16)

• Double Field Theory
• Generalized metric formulation of double field theory
• A Geometry for Non-Geometric String Backgrounds
• Nongeometric Flux Compactifications
• Doubled Geometry and T-Folds
• On Lorentz Invariant Actions for Chiral P-Forms
• Partial breaking of global D=4 supersymmetry, constrained superfields, and 3-brane actions
• Non-geometric backgrounds, doubled geometry and generalised T-duality
• Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory
• Background Field Equations for the Duality Symmetric String
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• A Double Sigma Model for Double Field Theory
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
• Non-geometric String Backgrounds and Worldsheet Algebras
• Worldsheet theories for non-geometric string backgrounds

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• Non-geometric backgrounds in string theory
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• An O(D,D) Invariant Hamiltonian Action for the Superstring
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Cosmological ${\alpha }^{\prime }$-corrections from the functional renormalization group
• Superstring in doubled superspace
• T-duality in the weakly curved background
• T-duality, Quotients and Currents for Non-Geometric Closed Strings
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• Towards a world-sheet description of doubled geometry in string theory
• Principal Chiral Model without and with WZ term: Symmetries and Poisson-Lie T-Duality
• T-Dualities and Doubled Geometry of the Principal Chiral Model
• Two Double String Theory Actions: Non-Covariance vs. Covariance
• Renormalization of a Lorentz invariant doubled worldsheet theory