Lorentzian symmetric spaces
Michel Cahen,Nolan R. Wallach +1 more
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This article is published in Bulletin of the American Mathematical Society.The article was published on 1970-05-01 and is currently open access. It has received 202 citations till now. The article focuses on the topics: Triple system & Ring of symmetric functions.read more
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All supersymmetric solutions of minimal supergravity in five- dimensions
TL;DR: In this article, all purely bosonic supersymmetric solutions of minimal supergravity in five dimensions are classified, and explicit examples of new solutions are given, including a large family of plane-fronted waves and a maximally superymmetric analogue of the Godel universe which lifts to a solution of 11-dimensional supergravity that preserves 20 supersymmetries.
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A New maximally supersymmetric background of IIB superstring theory
TL;DR: In this paper, the authors present a maximally supersymmetric IIB string background with a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous five-form flux.
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Penrose limits and maximal supersymmetry
TL;DR: In this paper, it was shown that the maximally supersymmetric pp-wave of IIB superstring and M-theories can be obtained as a Penrose limit of the superstring AdS × S solutions.
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Penrose limits, supergravity and brane dynamics
TL;DR: In this article, the authors investigated the Penrose limits of classical string and M-theory backgrounds and proved that the number of super-symmetries of a supergravity background never decreases in the limit.
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Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
TL;DR: In this paper, the maximally supersymmetric solutions of the eleven and ten-dimensional supergravity theories were classified up to local isometry, and it was shown that the AdS solutions, the Hpp-waves and the flat space solutions exhaust them.
References
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Book
Spaces of Constant Curvature
TL;DR: In this article, a very concise treatment of riemannian and pseudo-riemannian manifolds and their curvatures is given, along with a discussion of the representation theory of finite groups.
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Les espaces symétriques noncompacts
TL;DR: In this article, Gauthier-Villars implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions).