Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-04-30
Phys.Lett. B439 (1998) 12-22
Physics
High Energy Physics
High Energy Physics - Theory
15pages, Latex, Some mistakes are radically revised. Some references added. In v4 the proofs of the invariance of the actions
Scientific paper
10.1016/S0370-2693(98)00998-8
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.
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