Eight-dimensional noncommutative instantons and D0–D8 bound states with B-field

We construct some classes of instanton solutions of eight-dimensional noncommutative ADHM equations generalizing the solutions of eight-dimensional commutative ADHM equations found by Papadopoulos and Teschendorff, and interpret them as supersymmetric D0–D8 bound states in a NS B-field. Especially, we consider the D0–D8 system with anti-self-dual B-field preserving 3/16 of supercharges. This system and self-duality conditions are related with the group Sp(2) which is a subgroup of the eight-dimensional rotation group SO(8).