关于余维为2的膜几何与单值性
On Geometries and Monodromies for Branes of Codimension Two
AI总结：
本文研究了II型和杂化弦理论中余维为2的NS5-、KK5-和$5^2_2$-膜的几何，按其单值性进行分类，并证明这些性质在加倍空间的广义结构中得以线性实现。
摘要：
我们研究在II型和杂化弦理论中余维为2的NS5-、KK5-和$5^2_2$-膜的几何。这些几何由每个膜所具有的单值性分类。它们是时空度规、$B$场和伸缩子（以及规范场）的$B$-变换、广义坐标变换和$β$-变换。我们证明单值性性质也出现在时空的曲率和复结构等几何量中。它们在加倍空间中的加倍（广义）结构中被线性实现。
英文摘要：
We study geometries for the NS5-, the KK5- and the $5^2_2$-branes of codimension two in type II and heterotic string theories. The geometries are classified by monodromies that each brane has. They are the $B$-, the general coordinate and the $β$-transformations of the spacetime metric, the $B$-field and the dilaton (and the gauge fields). We show that the monodromy nature appears also in the geometric quantities such as the curvature and the complex structures of spacetime. They are linearly realized in the doubled (generalized) structures in the doubled space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
