标题： BPS缺陷在AdS$_{3}$超引力中 显示英文标题

标题： BPS defects in AdS$_{3}$ supergravity

摘要： AdS 超引力允许描述 BPS 缺陷的超对称解。 在这里，我们研究 AdS$_3$超引力中的此类解，该理论被表述为在$\mathrm{OSp}(2|1)\,\times\, \mathrm{OSp}(2|1)$上的 Chern-Simons 理论。 我们以不同的方式计算 BTZ 几何上的 Killing 自旋方程，寻找整个参数空间上的 BPS 解。 我们将注意力集中在代表具有整数角过剩几何的缺陷上；这些对应于 BTZ 质量的特定负值。 我们将我们的解与其他文献中的结果进行比较，发现完全一致。 我们认为，在半经典极限下，BPS 缺陷可以与边界处 Virasoro 对称性的退化表示相关联。 还讨论了描述静止但非静态缺陷的非对角表示的情况。 显示英文摘要

摘要： AdS supergravity admits supersymmetric solutions that describe BPS defects. Here, we investigate such solutions in AdS$_3$ supergravity, which is formulated as a Chern-Simons theory on $\mathrm{OSp}(2|1)\,\times\, \mathrm{OSp}(2|1)$. We compute the Killing spinor equation on the BTZ geometry in different ways, looking for BPS solutions on the entire space of parameters. We focus our attention on defects that represent geometries with integer angular excesses; these correspond to specific negative values of the BTZ mass. We compare our solutions with other results in the literature, finding exact agreement. We argue that, in the semiclassical limit, the BPS defects can be associated to degenerate representations of the Virasoro symmetry at the boundary. The case of non-diagonal representations, describing stationary, non-static defects, is also discussed.