Conformal chiral boson models on twisted doubled tori and non-geometric string vacua

Abstract

We derive and analyze the conditions for quantum conformal and Lorentz invariance of the duality symmetric interacting chiral boson sigma-models, which are conjectured to describe non-geometric string theory backgrounds. The one-loop Weyl and Lorentz anomalies are computed for the general case using the background field method. Subsequently, our results are applied to a class of (on-shell) Lorentz invariant chiral boson models which are based on twisted doubled tori. Our findings are in agreement with those expected from the effective supergravity approach, thereby firmly establishing that the chiral boson models under consideration provide the string worldsheet description of N=4 gauged supergravities with electric gaugings. Furthermore, they demonstrate that twisted doubled tori are indeed the doubled internal geometries underlying a large class of non-geometric string compactifications. For compact gaugings the associated chiral boson models are automatically conformal, a fact that is explained by showing that they are actually chiral WZW models in disguise.

37 pages; v2: minor improvements, version to appear in Nucl. Phys. B

References in corpus (14)

• Double Field Theory
• Generalised Geometry for M-Theory
• Doubled Geometry and T-Folds
• Gauged N=4 supergravities
• Background Field Equations for the Duality Symmetric String
• Lectures on Nongeometric Flux Compactifications
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• Type-IIA flux compactifications and N=4 gauged supergravities
• Non-geometric Backgrounds and the First Order String Sigma Model
• Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin
• D-branes and doubled geometry
• Flux compactifications, twisted tori and doubled geometry
• N=4 Gauged Supergravity from Duality-Twist Compactifications of String Theory

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• Complete classification of Minkowski vacua in generalised flux models
• Doubled aspects of generalised dualities and integrable deformations
• Non-geometric backgrounds in string theory
• Duality Symmetric String and M-Theory
• Connecting T-duality invariant theories
• The Geometry, Branes and Applications of Exceptional Field Theory
• A Double Sigma Model for Double Field Theory
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• Flux Compactifications, Gauge Algebras and De Sitter
• Poisson-Lie U-duality in Exceptional Field Theory
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• T-folds, doubled geometry, and the SU(2) WZW model
• Geometries, Non-Geometries, and Fluxes
• A Lorentz invariant doubled worldsheet theory
• Sigma models for genuinely non-geometric backgrounds
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• RG flow of integrable $\mathcal{E}$-models
• Aspects of the Doubled Worldsheet
• Comparing Double String Theory Actions
• Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality
• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Metastring Theory and Modular Space-time
• Dimensional Reduction of the Generalized DBI
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Bi-algebras, generalised geometry and T-duality
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Gauged Supergravities and the Physics of Extra Dimensions
• An invitation to Poisson-Lie T-duality in Double Field Theory and its applications
• Renormalization of a Lorentz invariant doubled worldsheet theory
• The Duality Symmetric String at Two-loops
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings