T-duality, Generalized Geometry and Non-Geometric Backgrounds

Abstract

We discuss the action of O(d,d), and in particular T-duality, in the context of generalized geometry, focusing on the description of so-called non-geometric backgrounds. We derive local expressions for the pure spinors descibing the generalized geometry dual to an SU(3) structure background, and show that the equations for N=1 vacua are invariant under T-duality. We also propose a local generalized geometrical definition of the charges f, H, Q and R appearing in effective four-dimensional theories, using the Courant bracket. We then address certain global aspects, in particular whether the local non-geometric charges can be gauged away in, for instance, backgrounds admitting a torus action, as well as the structure of generalized parallelizable backgrounds.

33 pages

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• Low Energy Supersymmetry from Non-Geometry
• NS-NS fluxes in Hitchin's generalized geometry
• Calibrated cycles and T-duality
• Non-geometric fluxes as supergravity backgrounds
• Effective descriptions of branes on non-geometric tori
• Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
• Geometric and Non-Geometric Compactifications of IIB Supergravity

Cited by in corpus (151)

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• T-duality and closed string non-commutative (doubled) geometry
• Lectures on Generalized Complex Geometry for Physicists
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• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
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• Weaving the Exotic Web
• Type IIB flux vacua from G-theory II
• Hidden Gauge Structure of Supersymmetric Free Differential Algebras
• Minimal flux Minkowski classification
• Generalised Geometry and type II Supergravity
• New supersymmetric vacua on solvmanifolds
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• Exploring Exceptional Drinfeld Geometries
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• Generalized Parallelizable Spaces from Exceptional Field Theory
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• Lie algebroids, non-associative structures and non-geometric fluxes
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• Courant bracket twisted both by a 2-form $B$ and by a bi-vector $\theta$
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• Two-Dimensional Supersymmetric Sigma Models on Almost-Product Manifolds and Non-Geometry
• Heterotic Flux Attractors
• Geometric U-folds in four dimensions
• Heterotic type IIA duality with fluxes - towards the complete story
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• Fluxes of Courant bracket twisted at the same time by $B$ and $\theta$
• Generalised Geometry and Flux Vacua
• Pre-NQ Manifolds and Correspondence Spaces: the Nilmanifold Example
• A gravitational action with stringy $Q$ and $R$ fluxes via deformed differential graded Poisson algebras
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• Generalised U-dual solutions in supergravity
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• Towards a T-dual Emergent Gravity