M-theory on a Time-dependent Plane-wave
classification
✦ hep-th
keywords
backgroundplane-wavesupersymmetriestime-dependentabelianadditionanti-machcalculate
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We propose a matrix model on a homogeneous plane-wave background with 20 supersymmetries. This background is anti-Mach type and is equivalent to the time-dependent background. We study supersymmetries in this theory and calculate the superalgebra. The vacuum energy of the abelian part is also calculated. In addition we find classical solutions such as graviton solution, fuzzy sphere and hyperboloid.
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