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

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

2003-06-17

arxiv.org/abs/hep-th/0306161v1

JHEP 0309 (2003) 072

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX2e

Scientific paper

10.1088/1126-6708/2003/09/072

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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