论文标题
超级重力的广义U二个解决方案
Generalised U-dual solutions in supergravity
论文作者
论文摘要
我们讨论了广义u二元性作为超级实力生成的解决方案技术的概念。我们展示了一种使用非凡的几何技术，将IIA型超级型溶液在带有NSNS通量的3个球体上采用NSNS通量的3型溶液。这些新的解决方案的特征在于基本的3个代数结构，并概括了通过非亚伯T二维获得的解决方案的特征，该解决方案涉及基本的普通谎言代数。我们专注于一个示例，其中我们从类型IIA SuperGravity中的PP-F1-NS5解决方案开始。我们讨论了最终的新解决方案的属性，包括将其视为U折的可能性以及其M2和M5 Brane费用。在极端情况下，新解决方案承认ADS $ {} _ 3 $限制，该限制属于最近构建的M理论ADS $ _ {3} $背景的类别 - 这提供了我们解决方案的全球完整完成，类似于明确定义的全息双重二元组，类似于非亚洲T型二线解决方案的全球完成。我们的完整解决方案是此ADS $ {} _ 3 $限制的6矢量变形。我们还明确地在ADS $ {} _ 3 $限制中明确求解了杀死旋转方程，找到了$ \ frac {1} {2} {2} $ - BPS解决方案。
We discuss the notion of generalised U-duality as a solution generating technique in supergravity. We demonstrate a method to take solutions of type IIA supergravity on a 3-sphere, with NSNS flux, to new solutions of 11-dimensional supergravity, using exceptional geometry techniques. These new solutions are characterised by an underlying 3-algebra structure, and generalise features of solutions obtained by non-abelian T-duality, which involve an underlying ordinary Lie algebra. We focus on an example where we start with the pp-F1-NS5 solution in type IIA supergravity. We discuss the properties of our resulting new solution, including the possibility of viewing it globally as a U-fold, and its M2 and M5 brane charges. In the extremal case, the new solution admits an AdS${}_3$ limit, which falls into a recently constructed class of M-theory AdS$_{3}$ backgrounds -- this provides a global completion of our solution with a well-defined holographic dual, similar to the global completions of non-abelian T-dual solutions. Our full solution is a 6-vector deformation of this AdS${}_3$ limit. We also explicitly solve the Killing spinor equation in the AdS${}_3$ limit, finding a $\frac{1}{2}$-BPS solution.
