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

TL;DR

This paper derives BPS brane intersection rules using a no-force condition, providing a universal, bosonic approach applicable to various p-branes in 10 and 11 dimensions, simplifying the construction of stable, composite configurations.

Contribution

It offers a simple, bosonic derivation of BPS intersection rules that applies universally across different dimensions and brane types, independent of supersymmetry considerations.

Findings

Derived intersection rules from no-force condition

Constructed composite BPS configurations with zero binding energy

Unified treatment of diverse brane types and dimensions

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.