Flux compactifications, twisted tori and doubled geometry
arXiv:0904.0380 · doi:10.1088/1126-6708/2009/06/085
Abstract
In arXiv:0902.4032 [hep-th] an O(D,D)-covariant sigma model describing the embedding of a closed world-sheet into the 2D-dimensional twisted torus was proposed. Such sigma models provide a universal description of string theory with target spaces related by the action of T-duality. In this article a six-dimensional toy example is studied in detail. Different polarisations of the six-dimensional target space give different three-dimensional string backgrounds including a nilmanifold with H-flux, a T-fold with R-flux and a new class of T-folds. Global issues and connections with the doubled torus formalism are discussed. Finally, the sigma model introduced in arXiv:0902.4032 [hep-th], describing the embedding of a world-sheet into the doubled twisted torus, is generalised to one describing a target space which is a bundle of the doubled twisted torus over a base, allowing for a more complete description of the associated gauged supergravity from the world-sheet perspective to be given.
42 pages
References in corpus (26)
- Unity of Superstring Dualities
- A Geometry for Non-Geometric String Backgrounds
- Nongeometric Flux Compactifications
- Generalised Geometry for M-Theory
- Doubled Geometry and T-Folds
- Duality Twists, Orbifolds, and Fluxes
- M-theory, exceptional generalised geometry and superpotentials
- Geometric Constructions of Nongeometric String Theories
- The O(dd) Story of Massive Supergravity
- NS5-Branes, T-Duality and Worldsheet Instantons
- Lectures on Gauged Supergravity and Flux Compactifications
- Generalised T-Duality and Non-Geometric Backgrounds
- On Nonabelian Duality
- Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
- Generalized Flux Vacua
- Worldsheet Instanton Corrections to the Kaluza-Klein Monopole
- Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
- Flux Compactifications of M-Theory on Twisted Tori
- Gauge Symmetry, T-Duality and Doubled Geometry
- Nongeometry, Duality Twists, and the Worldsheet
- D-branes and doubled geometry
- Worldsheet theories for non-geometric string backgrounds
- N=4 Gauged Supergravity from Duality-Twist Compactifications of String Theory
- Mirrorfolds with K3 Fibrations
- D-branes in T-fold conformal field theory
- Geometric and Non-Geometric Compactifications of IIB Supergravity
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- Flux moduli stabilisation, Supergravity algebras and no-go theorems
- Connecting T-duality invariant theories
- Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
- Double Field Theory for Double D-branes
- Para-Hermitian Geometry, Dualities and Generalized Flux Backgrounds
- T-folds, doubled geometry, and the SU(2) WZW model
- Brane Inflation and Moduli Stabilization on Twisted Tori
- Noncommutative gauge theories on D-branes in non-geometric backgrounds
- SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles
- Dirac structures on nilmanifolds and coexistence of fluxes
- T-duality without isometry via extended gauge symmetries of 2D sigma models
- Supermembrane origin of type II gauged supergravities in 9D
- Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality
- Closed String Partition Functions in Toroidal Compactifications of Doubled Geometries
- Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
- Degenerations of K3, Orientifolds and Exotic Branes
- The Doubled Geometry of Nilmanifold Reductions
- Special Holonomy Manifolds, Domain Walls, Intersecting Branes and T-folds
- Aspects of the T-duality construction for the Supermembrane theory
- Grothendieck's point of view and complexity in the black hole paradox
- On global aspects of duality invariant theories: M2-brane vs DFT