arXiv 0901.06762009-01hep-th

具有大质量模的相容超对称Kaluza-Klein截断

Consistent supersymmetric Kaluza--Klein truncations with massive modes

Jerome P. Gauntlett, Seok Kim, Oscar Varela, Daniel Waldram

备注：: 33 pages. v2: Added section on skew-whiffed solutions and some brief comments on holographic superconductors. v3: typos corrected, version to be published in JHEP
发表信息：: JHEP 0904:102,2009
DOI：: 10.1088/1126-6708/2009/04/102

摘要：

我们构造一致的卡鲁扎-克莱因减少D=11超引力到四维使用任意的7维Sasaki-爱因斯坦流形。在玻色子场的水平上，我们扩展了已知的减少，这导致最小的N=2规范超引力，也包括一个多重的大规模的领域，包含呼吸模式的佐佐木-爱因斯坦空间，仍然符合N=2超对称。在通量紧致化的背景下，Sasaki-爱因斯坦约化是IIA型SU（3）-结构约化的推广，其中包括度量和形场通量，并导致大量的普适张量多重态。我们对任意弱G_2流形进行了类似的分析，该流形导致N=1的具有质量场的超引力。将我们的结果直接推广到七球的情形，意味着存在一个N=8超对称的四维拉格朗日量，它同时包含无质量和有质量的自旋二场。我们利用这些结果构造了具有非相对论共形对称性的M-理论的解。

英文摘要：

We construct consistent Kaluza--Klein reductions of D=11 supergravity to four dimensions using an arbitrary seven-dimensional Sasaki--Einstein manifold. At the level of bosonic fields, we extend the known reduction, which leads to minimal N=2 gauged supergravity, to also include a multiplet of massive fields, containing the breathing mode of the Sasaki--Einstein space, and still consistent with N=2 supersymmetry. In the context of flux compactifications, the Sasaki--Einstein reductions are generalizations of type IIA SU(3)-structure reductions which include both metric and form-field flux and lead to a massive universal tensor multiplet. We carry out a similar analysis for an arbitrary weak G_2 manifold leading to an N=1 supergravity with massive fields. The straightforward extension of our results to the case of the seven-sphere would imply that there is a four-dimensional Lagrangian with N=8 supersymmetry containing both massless and massive spin two fields. We use our results to construct solutions of M-theory with non-relativistic conformal symmetry.

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英文摘要：

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