D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
复制标题
D=5 SU(2)xU(1) 根据 D=11 超重力测量超重力
DOI：
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发表时间：
2007
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通讯作者：
O. Varela
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作者：
J. Gauntlett;O. Varela
本文考虑了D=11超引力场的最一般的超对称解，它是由AdS_5与一个六维内部流形N_6的翘曲积构成的，在d=4时，它与N=2的超共形场论是对偶的.对于任意一个这样的N_6，我们构造了完全非线性Kaluza-Klein近似，将N_6上D=11的超引力约化为D=5的SU（2）xU（1）规范超引力。这使得我们可以对任意给定的N_6，将D=5的超引力解提升到D=11的超引力解。利用一个显式的N_6，对应于在Calabi-Yau二重中包裹全纯曲线的M5-膜，我们提升了一些解，并评论了它们的解释。
We consider the most general class of supersymmetric solutions of D=11 supergravity consisting of a warped product of AdS_5 with a six-dimensional internal manifold N_6, which are dual to N=2 super conformal field theories in d=4. For any such N_6 we construct the full non-linear Kaluza-Klein ansatz for the reduction of D=11 supergravity on N_6 down to D=5 SU(2)xU(1) gauged supergravity, at the level of the bosonic fields. This allows one to uplift any solution of the D=5 supergravity to obtain a solution of D=11 supergravity for any given N_6. Using an explicit N_6, corresponding to M5-branes wrapping holomorphic curves in a Calabi-Yau two-fold, we uplift some solutions and comment upon their interpretation.