Time-Dependent Supersymmetric Solutions in M-Theory and the Compactification-Decompactification Transition

Time-Dependent Supersymmetric Solutions in M-Theory and the Compactification-Decompactification Transition
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DOI:
10.1143/ptp.116.295
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发表时间:
2006-05
影响因子:
--
通讯作者:
H. Kodama;N. Ohta
H. Kodama;N. Ohta
中科院分区:
--
文献类型:
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作者:
H. Kodama;N. Ohta

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我们证明,我们之前的论文中推导出的十一维超引力中具有16个超对称性的对角类光解可以推广到保持相同数量超对称性的非对角解。虽然这个广义光的解决方案的度量系数只依赖于一个单一的零坐标,这类解决方案包含一个子类相当于一类的解决方案,发现陈斌是依赖于空间坐标。利用这些解决方案,我们构造环面紧化的解决方案,光滑地连接一个静态紧化区域与动态解紧化区域沿着一个零超曲面。
We show that the diagonal light-like solution with 16 supersymmetries in elevendimensional supergravity derived in our previous paper can be generalised to non-diagonal solutions preserving the same number of supersymmetries. Although the metric coefficients of this generalised light-like solution depend on only a single null coordinate, this class of solutions contains a subclass equivalent to the class of solutions found by Bin Chen that are dependent on the spatial coordinates. Utilising these solutions, we construct toroidally compactified solutions that smoothly connect a static compactified region with a dynamically decompactifying region along a null hypersurface.