论文标题
超对称性和超对称性在三个维度
Supersymmetry and Superstrata in Three Dimensions
论文作者
论文摘要
我们分析了测量$的超对称性转换，因此（4）$超级重力在三个维度上耦合到额外的超多年，并找到了保留四个超对称性的光滑BPS解决方案的大型家族。这些BPS解决方案是一些六维超质量家庭一致截断的一部分。从三维的角度来看，这些解决方案产生了“平滑封闭的BTZ”几何形状。我们展示了自旋连接的扭曲，田地的全体形状以及Chern-Simons连接在这些超对称溶液的存在中都起着至关重要的作用。本文还关闭了超质截面的一致截断上的圆，确切地显示了superstratum的每个特征如何进入三维BPS结构。
We analyze the supersymmetry transformations of gauged $SO(4)$ supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are part of the consistent truncation of some families of six-dimensional superstrata. From the three-dimensional perspective, these solutions give rise to "smoothly-capped BTZ" geometries. We show how the twisting of the spin connection, the holomorphy of the fields, and the Chern-Simons connections all play an essential role in the existence of these supersymmetric solutions. This paper also closes the circle on the consistent truncation of superstrata, showing precisely how every feature of the superstratum enters into the three-dimensional BPS structure.
