All AdS7 solutions of type II supergravity
All AdS7 solutions of type II supergravity
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DOI：
10.1007/jhep04(2014)064
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发表时间：
2013-09
影响因子：
5.4
通讯作者：
Fabio Apruzzi;M. Fazzi;Dario Rosa;A. Tomasiello
中科院分区：
文献类型：
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作者：
Fabio Apruzzi;M. Fazzi;Dario Rosa;A. Tomasiello
在M 理论中，唯一的AdS 7 超对称解是AdS 7× S 4 及其轨道折叠。在本文中，我们发现并分类了 II 型超重力中 AdS 7× M 3 型的新超对称解。虽然在 IIB 中不存在，但在具有罗马质量的 IIA 中（不提升到 M 理论）有许多新的。我们使用纯旋量方法，让人想起广义的复杂几何。无需任何 Ansatz，系统即可唯一确定度量和通量的形式，直至求解 ODE 系统。即，M 3 上的度量是在一个间隔上光纤化的S 2 的度量；这与全息对偶 (1, 0) 理论的 Sp (1) R 对称性一致。通过包含 D8 膜源，我们可以在数值上获得正则解，其中拓扑 M 3≅ S 3。
In M-theory, the only AdS 7 supersymmetric solutions are AdS 7× S 4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS 7× M 3 in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. We use a pure spinor approach reminiscent of generalized complex geometry. Without the need for any Ansatz, the system determines uniquely the form of the metric and fluxes, up to solving a system of ODEs. Namely, the metric on M 3 is that of an S 2 fibered over an interval; this is consistent with the Sp (1) R-symmetry of the holographically dual (1, 0) theory. By including D8 brane sources, one can numerically obtain regular solutions, where topologically M 3≅ S 3.