D-branes and doubled geometry
arXiv:0806.1783 · doi:10.1088/1126-6708/2009/04/113
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
References in corpus (6)
- Generalised Geometry for M-Theory
- Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
- T-duality with H-flux: non-commutativity, T-folds and G x G structure
- D-branes in T-fold conformal field theory
- Geometric and Non-Geometric Compactifications of IIB Supergravity
- On the Poisson-Lie T-plurality of boundary conditions