标题： 特殊轨迹 显示英文标题

标题： The Special Locus

摘要： 特殊点簇在被称为微态结构的非BPS微观几何构造中起着重要作用。这些超引力解对应于D1-D5共形场论（CFT）中左动量和右动量状态组合的对偶，由于超对称性被打破，这些状态的反常维度不受保护。这意味着即使是最简单的激发组合，也能通过超引力相互作用的非线性性产生频率依赖性的级联效应。位于特殊点簇上的解设法将其中一些反常维度锁定在一起，并允许使用三维规范化的超引力构建完整的解。在对偶的全息CFT中，已经表明特殊点簇对应于创建“纯粹”的单粒子态气体，然而，在超引力中，特殊点簇仍然是神秘的，特别是因为它似乎不是由几何对称性定义的。在本文中，我们揭示了特殊点簇的超引力结构，首先是在三维超引力中，然后是在六维和IIB超引力的提升中。关键的见解是，在三维情况下，一组对偶矢量场必须消失，这暗示了六维和十维张量规范场之间存在代数关系。这些见解展示了如何将特殊点簇假设推广到更一般的六维超引力模式激发。我们还构造了最简单特殊点簇的完整六维提升。 显示英文摘要

摘要： The special locus plays an important role in the construction of the non-BPS microstate geometries known as microstrata. These supergravity solutions are dual to combinations of left-moving and right-moving momentum states in the D1-D5 CFT and because supersymmetry is broken the anomalous dimensions of these states are not protected. This means even the simplest combinations of excitations can create a cascade of frequency dependences through the non-linearities of the supergravity interactions. Solutions on the special locus manage to lock some of these anomalous dimensions together and allow one to construct complete solutions using gauged supergravity in three dimensions. In the dual holographic CFT, the special locus has been shown to correspond to creating a "pure" gas of single particle states, however, in supergravity the special locus remains mysterious especially because it does not seem to be defined by a geometric symmetry. In this paper we reveal the supergravity structure of the special locus, first in three-dimensional supergravity and then in the uplift to six dimensions and IIB supergravity. The key insight is that, in three dimensions, a family of dual vector fields must vanish, and this implies that there are algebraic relations between tensor gauge fields in six and ten dimensions. These insights show how one can generalize the special locus Ansatz to more general mode excitations of six-dimensional supergravity. We also construct the full six-dimensional uplift of the simplest special locus.