D-branes and doubled geometry

Albertsson, Cecilia; Kimura, Tetsuji; Reid-Edwards, Ronald A.

D-branes and doubled geometry

Authors

Albertsson, Cecilia

Kimura, Tetsuji

Reid-Edwards, Ronald A.

Description

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