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

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.

28 pages, 3 figures; the published version

References in corpus (3)

• Time Dependent Cosmologies and Their Duals
• Matrix String Description of Cosmic Singularities in a Class of Time-dependent Solutions
• Matrix Model in a Class of Time Dependent Supersymmetric Backgrounds

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• Supersymmetric Intersecting Branes in Time-dependent Backgrounds
• String spectra near some null cosmological singularities
• Time-dependent supergravity solutions in null dilaton background
• Matrix Big Brunch
• Open String Descriptions of Space-like Singularities in Two Dimensional String Theory
• Interactions for Winding Strings in Misner Space
• Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and in Type II String Theories