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arXiv 1008.0883hep-th
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锥型解的超对称相容截断

A supersymmetric consistent truncation for conifold solutions

Davide Cassani, Anton F. Faedo

摘要:

将Papadopoulos-Tseytlin方法推广到SU(2)xSU(2)不变Kaluza-Klein模的全集合,建立了T^{1,1}陪集空间上IIB型超引力的超对称一致截断.五维模型是一个N=4的规范超引力场,具有三个矢量多重态,它包含了各种锥解,适合于研究它们的动力学。通过对标量势的分析,我们发现了一族新的非超对称AdS_5极值,它们是在很久以前Romans得到的解和T^{1,1}上采用不同于标准度量的Einstein度量的解之间插值的。最后,我们讨论了一些简单的保持N=2超对称的相容子截断。其中一个仍然包含克列巴诺夫-斯特拉斯勒解,并且与包含涂抹的D 7-膜相容。

英文摘要:

We establish a supersymmetric consistent truncation of type IIB supergravity on the T^{1,1} coset space, based on extending the Papadopoulos-Tseytlin ansatz to the full set of SU(2)xSU(2) invariant Kaluza-Klein modes. The five-dimensional model is a gauged N=4 supergravity with three vector multiplets, which incorporates various conifold solutions and is suitable for the study of their dynamics. By analysing the scalar potential we find a family of new non-supersymmetric AdS_5 extrema interpolating between a solution obtained long ago by Romans and a solution employing an Einstein metric on T^{1,1} different from the standard one. Finally, we discuss some simple consistent subtruncations preserving N=2 supersymmetry. One of them still contains the Klebanov-Strassler solution, and is compatible with the inclusion of smeared D7-branes.

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