D-branes inN= 2 strings

We study various aspects of D-branes in the two families of closed N=2strings denoted by \alpha and \beta in hep-th/0211147. We consider two types ofN=2 boundary conditions, A-type and B-type. We analyse the D-branes geometry.We compute open and closed string scattering amplitudes in the presence of theD-branes and discuss the results. We find that, except the space fillingD-branes, the B-type D-branes decouple from the bulk. The A-type D-branesexhibit inconsistency. We construct the D-branes effective worldvolumetheories. They are given by a dimensional reduction of self-dual Yang-Millstheory in four dimensions. We construct the D-branes gravity backgrounds.Finally, we discuss possible N=2 open/closed string dualities.Comment: 25 pages, Latex2