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.
Keywords
Cite
@article{arxiv.0806.1783,
title = {D-branes and doubled geometry},
author = {Cecilia Albertsson and Tetsuji Kimura and Ronald A. Reid-Edwards},
journal= {arXiv preprint arXiv:0806.1783},
year = {2009}
}
Comments
LaTeX, 42 pages; v2: error concerning integrability condition corrected, clarifications and references added, typos corrected; v3: typos corrected, published version