D-branes and doubled geometry

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

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.

Citation

Albertsson, C., Kimura, T., & Reid-Edwards, R. A. (2009). D-branes and doubled geometry. Journal of High Energy Physics, 2009(04), Article 113. https://doi.org/10.1088/1126-6708/2009/04/113

• Journal Article Type: Article
• Acceptance Date: Apr 7, 2009
• Online Publication Date: Apr 28, 2009
• Publication Date: Jul 16, 2009
• Deposit Date: Jul 13, 2018
• Publicly Available Date: Jul 23, 2018
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2009
• Issue: 04
• Article Number: 113
• DOI: https://doi.org/10.1088/1126-6708/2009/04/113
• Public URL: https://hull-repository.worktribe.com/output/926501
• Publisher URL: http://iopscience.iop.org/article/10.1088/1126-6708/2009/04/113/meta