标题： 矢量超结构：第二部分 显示英文标题

标题： Vector Superstrata: Part Two

摘要： 微状态几何是黑洞的微观状态，可以在超引力理论中进行描述。 尽管它们的数量可能无法完全再现具有有限大小视界黑洞的全部熵，但它们仍然提供了对黑洞微观结构的洞察。 在本文中，我们构建了一组新的超对称D1-D5-P黑洞的微状态几何，其中动量电荷由矢量场携带，这是从六维超引力观点来看的。 为了辅助我们的构造，我们开发了一个算法，该算法利用几何的正则性来求解复杂的偏微分方程。 新解是渐近AdS$_3\times S^3$的，并具有一个长但有限的AdS$_2$腰部，该腰部最终不会形成视界。 这些微状态几何在边界D1-D5共形场论中具有全息解释，作为重态的相干叠加。 我们确定了与新构造的解相对应的状态，并进行了一些基本的一致性检查以支持我们的识别。 显示英文摘要

摘要： Microstate geometries are proposed microstates of black holes which can be described within supergravity. Even though their number may not reproduce the full entropy of black holes with finite-sized horizons, they still offer a glimpse into the microscopic structure of black holes. In this paper we construct a new set of microstate geometries of the supersymmetric D1-D5-P black hole, where the momentum charge is carried by a vector field, as seen from the perspective of six-dimensional supergravity. To aid our construction, we develop an algorithm which solves a complicated partial differential equation using the regularity of the geometries. The new solutions are asymptotically AdS$_3\times S^3$, and have a long, but finite AdS$_2$ throat that caps off without ever developing a horizon. These microstate geometries have a holographic interpretation as coherent superpositions of heavy states in the boundary D1-D5 CFT. We identify the states which are dual to our newly constructed solutions and carry out some basic consistency checks to support our identification.