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

Hideo Kodama·Nobuyoshi Ohta
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Abstract

We show that the diagonal light-like solution with 16 supersymmetries in eleven-dimensional supergravity derived in our previous paper (hep-th/0509173) can be generalised to non-diagonal solutions preserving the same number of supersymmetries. 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.

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Hideo Kodama, Nobuyoshi Ohta. 2006-07-29. Time-Dependent Supersymmetric Solutions in M-Theory and the Compactification-Decompactification Transition. https://doi.org/10.1143/ptp.116.295

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