On N=1 Mirror Symmetry for Open Type II Strings
On N=1 Mirror Symmetry for Open Type II Strings
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关于开型 II 弦的 N=1 镜像对称性
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
P. Mayr
中科院分区：
文献类型：
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作者：
W. Lerche;P. Mayr
我们研究了非紧Calabi-Yau流形上具有D膜的N=1超对称II型真空镜像映射的开弦扩张。它的定义是根据一个系统的微分方程，零化某些周期和链积分。这些解描述了N=1参数空间上的平坦坐标和D膜世界体积上的精确盘瞬子修正超势。给出了开闭弦组合系统的规范线性σ模型。它允许使用复曲面几何的方法来描述D膜相变和N=1 K“ahler锥。各种D-膜几何的应用进行了详细的描述。
We study the open string extension of the mirror map for N=1 supersymmetric type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition is given in terms of a system of differential equations that annihilate certain period and chain integrals. The solutions describe the flat coordinates on the N=1 parameter space, and the exact disc instanton corrected superpotential on the D-brane world-volume. A gauged linear sigma model for the combined open-closed string system is also given. It allows to use methods of toric geometry to describe D-brane phase transitions and the N=1 K"ahler cone. Applications to a variety of D-brane geometries are described in some detail.