双厄米几何中D-膜的N=2世界单方法：II。一般情况
An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case
摘要：
我们完成了在边界存在下N=（2，2）超对称非线性σ模型的研究。我们研究了由手征、扭曲手征和半手征超场参数化的完整双厄米几何，并确定了保持N=2世界片超对称性的D-膜构型。将扭曲超场与半手征超场相结合，可以得到拉格朗日和余各向同性膜的明确定义，将卡勒流形上的拉格朗日和余各向同性A-膜推广到不一定是卡勒流形（但仍然是双厄米特流形）。添加手征场使图像复杂化，并导致拉格朗日/共各向同性膜和围绕全纯循环的膜之间的混合配置。即使在这里，膜也可以被看作是余迷向子流形，尽管是广义的。所有的超对称D-膜配置的特点是在广义复几何的背景下。对偶变换互换的各种类型的超场，同时保持所有的超对称性明确构建，并提供了一个强大的技术来构建各种高度非平凡的D-膜配置。给出了几个明确的例子。
英文摘要：
We complete the investigation of N=(2,2) supersymmetric nonlinear sigma-models in the presence of a boundary. We study the full bihermitian geometry parameterized by chiral, twisted chiral and semi-chiral superfields and identify the D-brane configurations preserving an N=2 worldsheet supersymmetry. Combining twisted with semi-chiral superfields leads to a clearly defined notion of lagrangian and coisotropic branes generalizing lagrangian and coisotropic A-branes on Kahler manifolds to manifolds which are not necessarily Kahler (but still bihermitian). Adding chiral fields complicates the picture and results in hybrid configurations interpolating between lagrangian/coisotropic branes and branes wrapping around a holomorphic cycle. Even here the branes can be viewed as coisotropic submanifolds albeit in a generalized sense. All supersymmetric D-brane configurations are characterized in the context of generalized complex geometry. Duality transformations interchanging the various types of superfields while preserving all supersymmetries are explicitly constructed and provide for a powerful technique to construct various highly non-trivial D-brane configurations. Several explicit examples are given.
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