Supersymmetric D-brane bound states with B field and higher dimensional instantons on noncommutative geometry -: art. no. 046003

We classify supersymmetric D0-Dp bound states with a nonzero B field by considering T dualities of intersecting branes at angles. Especially we find that the D0-D8 system with the B-field preserves 1/16, 1/8, and 3/16 of supercharges if the B field satisfies the "(anti-) self-dual " condition in dimension 8. The D0-branes in this system are described by eight-dimensional instantons on noncommutative R-8. We also discuss the extended ADHM construction of the eight-dimensional instantons and its deformation by the B-field. The modified ADHM equations admit a sort of the "fuzzy sphere" [embeddings of SU(2)] solution.