Hermitian D-brane solutions

A low-energy background field solution describing D-membrane configurations is constructed which is distinguished by the appearance of a Hermitian metric on the internal space. This metric is composed of a number of independent harmonic functions on the transverse space. Thus this construction generalizes the usual harmonic superposition rule. The BPS bound of these solutions is shown to be saturated indicating that they are supersymmetric. By means of T-duality, we construct more solutions of the IIA and IIB theories.