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

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Cited by in corpus (18)

• Forced Fluid Dynamics from Gravity
• Cosmologies with Null Singularities and their Gauge Theory Duals
• Dimension-changing exact solutions of string theory
• The Time-dependent Supersymmetric Configurations in M-theory and Matrix Models
• Gauge Theories with Time Dependent Couplings and their Cosmological Duals
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• Supersymmetric Intersecting Branes in Time-dependent Backgrounds
• Slowly Varying Dilaton Cosmologies and their Field Theory Duals
• Supersymmetric Intersecting Branes on the Waves
• String spectra near some null cosmological singularities
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• Time-dependent supergravity solutions in null dilaton background
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• Interactions for Winding Strings in Misner Space
• Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and in Type II String Theories
• D3-branes at angle in a linear dilaton pp-wave background