  We consider intersecting brane solutions of the type IIB matrix model. It is
shown that fermionic zero-modes arise on such backgrounds, localized at the
brane intersections. They lead to chiral fermions in four dimensions under
certain conditions. Such configurations reproduce many of the welcome features
in similar string-theoretic constructions. Therefore they can be used to
construct semi-realistic particle physics models in the framework of Yang-Mills
matrix models. In particular, we present a brane configuration which realizes
the correct chiral spectrum of the standard model in the matrix model.
Furthermore, the stability of intersecting branes is discussed by analyzing the
1-loop effective action. It is shown that intersecting branes may form a bound
state for certain flux configurations. The four-dimensional geometry of the
branes is generic, and determined by the (emergent) gravity sector of the
matrix model.
