We explore BPS soliton configurations in $N=2$ supersymmetric Yang-Mills theory with matter fields arising from parallel D3 branes on D7 branes. Especially we focus on a two parameter family of $1/8$ BPS equations, dyonic objects, and $1/8$ BPS objects and raise a possibility of the absence of BPS vortices when the number of D3 branes is larger than that of D7 branes.

• Received 5 August 2005

DOI:https://doi.org/10.1103/PhysRevD.72.065023