论文标题
从三个维度计量的超级重力的微晶格几何形状
Microstate Geometries from Gauged Supergravity in Three Dimensions
论文作者
论文摘要
Microstate几何形状，尤其是SuperStrata的最详细构造是使用$ \ Mathcal {n} =（1,0）$ supergravity耦合到六个尺寸的两个反自动双张量多重的。我们表明，该理论的一个重要子部门在三个维度上对特定测量的超重力具有一致的截断。我们的一致截断与Samtleben和Sarioglu（Arxiv：1907.08413 [hepth]）最近提出的截断密切相关，这使我们能够开发从三维理论到六个维度的完整提升公式。我们还发现了一个新的多模式superstrata家族，并由一个复杂变量的两个任意全体形态函数索引，它们生活在我们一致的截断范围内，并利用该家族对我们一致的截断进行了广泛的测试。我们讨论了一些未来的应用程序，即具有重要类别的微晶格几何形式的三维公式。
The most detailed constructions of microstate geometries, and particularly of superstrata, are done using $\mathcal{N} = (1,0)$ supergravity coupled to two anti-self-dual tensor multiplets in six dimensions. We show that an important sub-sector of this theory has a consistent truncation to a particular gauged supergravity in three dimensions. Our consistent truncation is closely related to those recently laid out by Samtleben and Sarioglu (arXiv:1907.08413 [hep-th]), which enables us to develop complete uplift formulae from the three-dimensional theory to six dimensions. We also find a new family of multi-mode superstrata, indexed by two arbitrary holomorphic functions of one complex variable, that live within our consistent truncation and use this family to provide extensive tests of our consistent truncation. We discuss some of the future applications of having an intrinsically three-dimensional formulation of a significant class of microstate geometries.
