D-branes and doubled geometry

Abstract

We define the open string version of the nonlinear sigma model on doubled geometry introduced by Hull and Reid-Edwards, and derive its boundary conditions. These conditions include the restriction of D-branes to maximally isotropic submanifolds as well as a compatibility condition with the Lie algebra structure on the doubled space. We demonstrate a systematic method to derive and classify D-branes from the boundary conditions, in terms of embeddings both in the doubled geometry and in the physical target space. We apply it to the doubled three-torus with constant H-flux and find D0-, D1-, and D2-branes, which we verify transform consistently under T-dualities mapping the system to f-, Q- and R-flux backgrounds.

LaTeX, 42 pages; v2: error concerning integrability condition corrected, clarifications and references added, typos corrected; v3: typos corrected, published version

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Cited by in corpus (29)

• Exploring Double Field Theory
• The local symmetries of M-theory and their formulation in generalised geometry
• Non-geometric backgrounds, doubled geometry and generalised T-duality
• Flux moduli stabilisation, Supergravity algebras and no-go theorems
• Boundary Terms in Generalized Geometry and doubled field theory
• Duality Symmetric String and M-Theory
• Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
• D-Brane Wess-Zumino Terms and U-Duality
• World-volume Effective Actions of Exotic Five-branes
• Double Field Theory for Double D-branes
• SL(5) duality from canonical M2-brane
• Canonical approach to Courant brackets for D-branes
• M5 algebra and SO(5,5) duality
• T-folds, doubled geometry, and the SU(2) WZW model
• Flux compactifications, twisted tori and doubled geometry
• Noncommutative gauge theories on D-branes in non-geometric backgrounds
• Cosmological Implications from O(D,D)
• Defect (p,q) Five-branes
• Semi-doubled Sigma Models for Five-branes
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• Open exceptional strings and D-branes
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• U-duality in three and four dimensions
• Gauge Transformation of Double Field Theory for Open String
• Dimensional Reduction of the Generalized DBI
• The different faces of branes in Double Field Theory
• Open-string T-duality and applications to non-geometric backgrounds
• The invariant action for solitonic 5-branes
• Minkowski vacuum transitions in (non-geometric) flux compactifications