Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions
Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions
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一般超对称 AdS 解决方案的一致 Kaluza-Klein 约简
DOI：
10.1103/physrevd.76.126007
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发表时间：
2007
影响因子：
5
通讯作者：
O. Varela
中科院分区：
文献类型：
--
作者：
J. Gauntlett;O. Varela
对于由 $Ad{S}_{5}$ 与五维流形 ${M}_{5}$ 的扭曲积组成的 IIB 型超重力最一般的超对称解，我们在 ${M}_{5}$ 上构造显式一致的 Kaluza-Klein 约简，以达到最小 $D=5$ 计量超重力。因此，任何测量超重力的解都可以在${M}_{5}$上提升，以获得IIB型超重力的精确解。我们还表明，对于一般的 $Ad{S}_{4}\ifmmode\times\else\texttimes\fi{}S{E}_{7}$ 解，其中 $S{E}_{7}$ 是七维 Sasaki-Einstein 流形，并且对于作为 $Ad{S}_{4}$ 与七维流形 ${N}_{7}$ 的扭曲积的一类超对称解，存在类似的一致减少到最小 $D=4$ 测量的超重力。
For the most general supersymmetric solutions of type IIB supergravity consisting of a warped product of $Ad{S}_{5}$ with a five-dimensional manifold ${M}_{5}$, we construct an explicit consistent Kaluza-Klein reduction on ${M}_{5}$ to minimal $D=5$ gauged supergravity. Thus, any solution of the gauged supergravity can be uplifted on ${M}_{5}$ to obtain an exact solution of type IIB supergravity. We also show that for general $Ad{S}_{4}\ifmmode\times\else\texttimes\fi{}S{E}_{7}$ solutions, where $S{E}_{7}$ is a seven-dimensional Sasaki-Einstein manifold, and for a general class of supersymmetric solutions that are a warped product of $Ad{S}_{4}$ with a seven-dimensional manifold ${N}_{7}$, there is an analogous consistent reduction to minimal $D=4$ gauged supergravity.