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arXiv · hep-th/0306161

Goedel, Penrose, anti-Mach: extra supersymmetries of time-dependent plane waves

Matthias Blau·Patrick Meessen·Martin O'Loughlin
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Abstract

We prove that M-theory plane waves with extra supersymmetries are necessarily homogeneous (but possibly time-dependent), and we show by explicit construction that such time-dependent plane waves can admit extra supersymmetries. To that end we study the Penrose limits of Goedel-like metrics, show that the Penrose limit of the M-theory Goedel metric (with 20 supercharges) is generically a time-dependent homogeneous plane wave of the anti-Mach type, and display the four extra Killings spinors in that case. We conclude with some general remarks on the Killing spinor equations for homogeneous plane waves.

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Matthias Blau, Patrick Meessen, Martin O'Loughlin. 2003-06-17. Goedel, Penrose, anti-Mach: extra supersymmetries of time-dependent plane waves. https://doi.org/10.1088/1126-6708%2F2003%2F09%2F072

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