The Spacetime Superalgebras from M-branes in M-brane Backgrounds

Abstract

We derive the spacetime superalgebras explicitly from ``test'' M-brane actions in M-brane backgrounds to the lowest order in $\theta$ via canonical formalism, and discuss various BPS saturated configurations on the basis of their central charges which depend on the harmonic functions determined by the backgrounds. All the 1/4 supersymmetric intersections of two M-branes obtained previously are deduced from the requirement of the test branes to be so ``gauge fixed'' in the brane backgrounds as to preserve 1/4 supersymmetry. Furthermore, some of 1/2-supersymmetric bound states of two M-branes are deduced from the behavior of the harmonic functions in the limits of vanishing distances of the two branes. The possibilities of some triple intersections preserving 1/4 supersymmetry are also discussed.

15pages, Latex, Some mistakes are radically revised. Some references added. In v4 the proofs of the invariance of the actions are added, one reference is also added and some grammatical and spelling mistakes are corrected. In v5 some trivial mistakes corrected, two references also added again

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• Superalgebras in Many Types of M-Brane Backgrounds and Various Supersymmetric Brane Configurations
• Worldvolume Dynamics of D-branes in a D-brane Background
• On the maximal superalgebras of supersymmetric backgrounds
• Current Density Distributions and a Supersymmetric Action for Interacting Brane Systems
• On non-perturbative extensions of anti-de-Sitter algebras
• Spacetime Superalgebra in AdS_4 \times S^7 via Supermembrane Probe
• Topological BPS charges in 10 and 11-dimensional supergravity
• Superstring 'ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system
• The mass formula for a fundamental string as a BPS solution of a D-brane's worldvolume