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arXiv 1003.5642hep-th
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五维空间中IIB型到N=4超引力的Kaluza-Klein约化

Universal Kaluza-Klein reductions of type IIB to N=4 supergravity in five dimensions

Jerome P. Gauntlett, Oscar Varela

备注：
1+34 pages. v2: Minor typos corrected, three references added. Version to be published in JHEP
发表信息：
JHEP 1006:081,2010
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摘要：

本文在HK_4 × S^1和SE 5上构造了IIB型超引力的显式相容Kaluza-Klein约化，其中HK_4是一个任意的四维超Kaehler流形，SE 5是一个任意的五维Sasaki-Einstein流形.在前一种情况下，我们得到了D=5 N=4（无规范）超引力耦合到两个矢量多重态的玻色作用量。对于SE_5的情况，我们扩展了一个已知的约化，它导致最小的D=5 N=2规范超引力，也包括一个多重态的质量场，包含呼吸模式的SE_5。我们表明，由此产生的D=5的行动也是一致的N=4规范超引力耦合到两个矢量多重态。这个理论有一个超对称的AdS_5真空，它提升到超对称的AdS_5 × SE_5解，它自发地把N=4破为N=2，还有一个非超对称的AdS_5真空，它提升到罗马人首先发现的一类解。

英文摘要：

We construct explicit consistent Kaluza-Klein reductions of type IIB supergravity on HK_4 x S^1, where HK_4 is an arbitrary four-dimensional hyper-Kaehler manifold, and on SE5, an arbitrary five-dimensional Sasaki-Einstein manifold. In the former case we obtain the bosonic action of D=5 N=4 (ungauged) supergravity coupled to two vector multiplets. For the SE_5 case we extend a known reduction, which leads to minimal D=5 N=2 gauged supergravity, to also include a multiplet of massive fields, containing the breathing mode of the SE_5. We show that the resulting D=5 action is also consistent with N=4 gauged supergravity coupled to two vector multiplets. This theory has a supersymmetric AdS_5 vacuum, which uplifts to the class of supersymmetric AdS_5 x SE_5 solutions, that spontaneously breaks N=4 to N=2, and also a non-supersymmetric AdS_5 vacuum which uplifts to a class of solutions first found by Romans.

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