论文标题
d-branes在para-hermitian几何形状中
D-Branes in Para-Hermitian Geometries
论文作者
论文摘要
我们使用基于Para-Hermitian几何形状和公制代数的全局协变框架在双重几何形状中介绍了D-二元性版本。我们将D-Branes定义为出生Sigma模型的开放字符串版本的共形边界条件，在该版本中，它们是由最大的各向同性矢量束给出的，通常不接受子序列的标准几何图片。当简化为物理弦背景的常规Sigma模型描述作为叶状para-hermitian歧管的叶片空间时，可积分的麸皮会产生D-Branes作为叶子的叶子，这些叶子被解释为物理时空上的Dirac结构。我们定义了广义para-complex d-brane的概念，该概念将我们的d-branes视为拓扑a/b-branes的para复合版本。我们说明了我们的形式主义如何恢复标准的D-Branes，这是Nilmanifolds降低的明确示例。
We introduce T-duality invariant versions of D-branes in doubled geometry using a global covariant framework based on para-Hermitian geometry and metric algebroids. We define D-branes as conformal boundary conditions for the open string version of the Born sigma-model, where they are given by maximally isotropic vector bundles which do not generally admit the standard geometric picture in terms of submanifolds. When reduced to the conventional sigma-model description of a physical string background as the leaf space of a foliated para-Hermitian manifold, integrable branes yield D-branes as leaves of foliations which are interpreted as Dirac structures on the physical spacetime. We define a notion of generalised para-complex D-brane, which realises our D-branes as para-complex versions of topological A/B-branes. We illustrate how our formalism recovers standard D-branes in the explicit example of reductions from doubled nilmanifolds.
