Triple M-brane configurations and preserved supersymmetries

TL;DR

This paper classifies all standard triple M-brane intersections in eleven-dimensional supergravity on Ricci-flat manifolds, providing explicit formulas for preserved supersymmetries and examples with partial supersymmetry preservation.

Contribution

It generalizes existing relations for trivial flat spaces to Ricci-flat manifolds, offering explicit formulas and new examples of supersymmetric M-brane configurations.

Findings

Derived explicit formulas for preserved supersymmetries in complex M-brane setups.

Identified specific configurations with partial supersymmetry preservation.

Provided examples involving K3, C^2/Z_2, pp-wave, and pseudo-Euclidean manifolds.

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.