D-branes and doubled geometry
D-branes and doubled geometry
复制标题
D-膜和双重几何结构
DOI：
10.1088/1126-6708/2009/04/113
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发表时间：
2008
影响因子：
5.4
通讯作者：
R. A. Reid
中科院分区：
文献类型：
--
作者：
C. Albertsson;T. Kimura;R. A. Reid
我们定义了船体和Reid-Edwards提出的双重几何上的非线性σ模型的开弦形式，并推导了它的边界条件.这些条件包括D-膜对最大各向同性子流形的限制以及与双空间上李代数结构的相容条件。我们展示了一个系统的方法来推导和分类D-膜的边界条件，在双重几何和物理目标空间的嵌入。我们将其应用于具有恒定H通量的双三环面，并找到D 0-，D1-和D2-膜，我们验证了在T-对偶映射系统到f-，Q-和R-通量背景下的一致变换。
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.