Supersymmetry, holonomy and Kundt spacetimes

Details Supersymmetry, holonomy and Kundt spacetimes Supersymmetry, holonomy and Kundt spacetimes

2008-07-28

arxiv.org/abs/0807.4542v2

Class.Quant.Grav.25:195007,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages. Accepted by Class. Quant. Grav. Some misprints fixed

Scientific paper

10.1088/0264-9381/25/19/195007

Supersymmetric solutions of supergravity theories, and consequently metrics with special holonomy, have played an important role in the development of string theory. We describe how a Lorentzian manifold is either completely reducible, and thus essentially known, or not completely reducible so that there exists a degenerate holonomy invariant lightlike subspace and consequently admits a covariantly constant or a recurrent null vector and belongs to the higher-dimensional Kundt class of spacetimes. These Kundt spacetimes (which contain the vanishing and constant curvature invariant spacetimes as special cases) are genuinely Lorentzian and have a number of interesting and unusual properties, which may lead to novel and fundamental physics.

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