Gödel, Penrose, anti-Mach: extra supersymmetries of time-dependent plane waves | Zendy

Matthias Blau | Zendy; Patrick Meessen | Zendy; Martin O’Loughlin | Zendy

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

Author(s) -

Matthias Blau,

Patrick Meessen,

Martin O’Loughlin

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/09/072

Subject(s) - spinor , plane (geometry) , homogeneous , physics , mathematical physics , metric (unit) , plane wave , mach number , classical mechanics , mathematical analysis , mathematics , quantum mechanics , geometry , mechanics , statistical physics , operations management , economics

We prove that M-theory plane waves with extra supersymmetries are necessarilyhomogeneous (but possibly time-dependent), and we show by explicit constructionthat such time-dependent plane waves can admit extra supersymmetries. To thatend we study the Penrose limits of Goedel-like metrics, show that the Penroselimit of the M-theory Goedel metric (with 20 supercharges) is generically atime-dependent homogeneous plane wave of the anti-Mach type, and display thefour extra Killings spinors in that case. We conclude with some general remarkson the Killing spinor equations for homogeneous plane waves.Comment: 20 pages, LaTeX2

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