English

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

High Energy Physics - Theory 2009-09-17 v2

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.

Keywords

Cite

@article{arxiv.hep-th/9609212,
  title  = {No-force condition and BPS combinations of p-branes in 11 and 10 dimensions},
  author = {A. A. Tseytlin},
  journal= {arXiv preprint arXiv:hep-th/9609212},
  year   = {2009}
}

Comments

15 pages, harvmac (minor remarks added, eqs.(3.4),(3.15))