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No-force condition and BPS combinations of p-branes in 11 and 10 dimensions

A. A. Tseytlin
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Abstract

The condition of vanishing of static force on a q-brane probe in the gravitational background produced by another p-brane is used to give a simple derivation of the pair-wise intersection rules which govern the construction of BPS combinations of branes. These rules, while implied also by supersymmetry considerations, thus have purely bosonic origin. Imposing the no-force requirement makes possible to add branes `one by one' to construct composite BPS configurations (with zero binding energy) of 2-branes and 5-branes in D=11 and of various p-branes in D=10. The advantage of this elementary approach is its universality, i.e. the cases of different dimensions and different types of branes (e.g., NS-NS, R-R and `mixed' combinations of NS-NS and R-R branes in D=10) are all treated in the same way.

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A. A. Tseytlin. 1996-12-05. No-force condition and BPS combinations of p-branes in 11 and 10 dimensions. https://doi.org/10.1016/s0550-3213(96)00692-x

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