Adhering 0-branes to 6-branes and 8-branes

TL;DR

This paper constructs stable classical solutions in Yang-Mills theory on tori that represent bound states of 0-branes with 6-branes and 8-branes, potentially aiding M(atrix) theory descriptions.

Contribution

It presents explicit Yang-Mills solutions on T^6 and T^8 that model 0-branes bound to higher-dimensional branes, a novel approach for such configurations.

Findings

Solutions break all supersymmetries.

Configurations are classically stable to quadratic order.

Energy exceeds sum of individual brane energies.

Abstract

A Yang-Mills solution is constructed on T^6 which corresponds to a brane configuration composed purely of 0-branes and 6-branes. This configuration breaks all supersymmetries and has an energy greater than the sum of the energies of its components; nonetheless, the configuration is stable classically, at least to quadratic order. An analogous construction is also given for a system of 0-branes and 8-branes on T^8. These constructions may prove to be useful for describing 6-branes and 8-branes in M(atrix) theory.