T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory

Abstract

A number of issues in heterotic double field theory are studied. This includes the analysis of the T-dual configurations of a flat constant gauge flux background, which turn out to be non-geometric. Performing a field redefinition to a non-geometric frame, these T-duals take a very simple form reminiscent of the constant Q- and R-flux backgrounds. In addition, it is shown how the analysis of arXiv:1304.2784 generalizes to heterotic generalized geometry. For every field redefinition specified by an O(D,D+n) transformation, the structure of the resulting supergravity action is governed by the differential geometry of a corresponding Lie algebroid.

27 pages, 1 figure, v2: refs added

References in corpus (17)

• Double Field Theory
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• T-duality and closed string non-commutative (doubled) geometry
• Double Field Theory at Order ${\alpha }^{\prime }$
• Generalised geometry for string corrections
• Frame-like Geometry of Double Field Theory
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Heterotic $\alpha$'-corrections in Double Field Theory
• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
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• Connections, Field Redefinitions and Heterotic Supergravity
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Cited by in corpus (10)

• T-duality and ${\alpha }^{\prime }$-corrections
• Heterotic Effective Action and Duality Symmetries Revisited
• Exploring the landscape of heterotic strings on T^d
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• T-duality orbifolds of heterotic Narain compactifications
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• The monodromy of T-folds and T-fects
• Extended Riemannian Geometry II: Local Heterotic Double Field Theory
• Non-geometric Five-branes in Heterotic Supergravity
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence