Supersymmetry and Lorentzian holonomy in various dimensions

Details Supersymmetry and Lorentzian holonomy in various dimensions Supersymmetry and Lorentzian holonomy in various dimensions

2004-06-11

arxiv.org/abs/hep-th/0406105v1

JHEP 0409:010,2004

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex

Scientific paper

10.1088/1126-6708/2004/09/010

We present a systematic method for constructing manifolds with Lorentzian holonomy group that are non-static supersymmetric vacua admitting covariantly constant light-like spinors. It is based on the metric of their Riemannian counterparts and the realization that, when certain conditions are satisfied, it is possible to promote constant moduli parameters into arbitrary functions of the light-cone time. Besides the general formalism, we present in detail several examples in various dimensions.

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