Triple M-brane configurations and preserved supersymmetries

Abstract

We investigate all standard triple composite M-brane intersections defined on products of Ricci-flat manifolds for preserving supersymmetries in eleven-dimensional N =1 supergravity. The explicit formulae for computing the numbers of preserved supersymmetries are obtained, which generalize the relations for topologically trivial flat factor spaces presented in the classification by Bergshoeff et al. We obtain certain examples of configurations preserving some fractions of supersymmetries, e.g. containing such factor spaces as K3, C^2_{*}/Z_2, a four-dimensional pp-wave manifold and the two-dimensional pseudo-Euclidean manifold R^{1,1}_{*}/Z_2.

26 pages, LaTex, 7 figures (are changed), typos and few words are eliminated, certain notations are simplified, several phrases are added. To be published in Nuclear Physics B

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Cited by in corpus (2)

• On supersymmetric M-brane configurations with R^{1,1}_{*}/Z_2 submanifold
• Exact $(1+3+6)$-dimensional cosmological-type solutions in gravitational model with Yang-Mills field, Gauss-Bonnet term and $\Lambda$-term