椭圆形和椭圆形NS上层
Elliptical and Purely NS Superstrata
摘要：
我们分析了三维规范超重力的“上层扇区”中的BPS方程。我们得到多参数超对称的解决方案，包括椭圆形变形的supertubes的基础标准superstrata。我们将三维解提升得到相应的六维几何。这产生了新的家庭的椭圆变形，ambi-bolar超凯勒几何在四维与非三全纯$U(1)$等距。我们还发现了一个新的家庭的缩放superstrata的S-对偶的生活完全在NS部门的超引力，因此将更适合于精确的分析使用弦探针。在所有这些新的超层中，包括标度超层，如果动量荷不为零，我们发现椭圆远离退化轨迹，在退化轨迹中椭圆变得平坦。
英文摘要：
We analyze the BPS equations in the ``superstratum sector'' of three-dimensional gauged supergravity. We obtain multi-parameter supersymmetric solutions that include elliptical deformations of the supertubes that underlie standard superstrata. We uplift the three-dimensional solutions to obtain the corresponding six-dimensional geometries. This yields new families of elliptically-deformed, ambi-bolar hyper-Kähler geometries in four dimensions with a non-tri-holomorphic $U(1)$ isometry. We also find a new family of scaling superstrata whose S-dual lives entirely within the NS-sector of supergravity, and will thus be more amenable to exact analysis using string probes. In all these new superstrata, including the scaling ones, if the momentum charge is non-zero we find that the ellipse stays away from the degeneration locus in which the ellipse becomes flat.
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