  We study D-branes in the superstring background R^{3,1} \times
SL(2,R)_{k=1}/U(1) which are extended in the cigar direction. Some of these
branes are new. The branes realize flavor in the four dimensional N=1 gauge
theories on the D-branes localized at the tip of the cigar. We study the
analytic properties of the boundary conformal field theories on these branes
with respect to their defining parameter and find non-trivial monodromies in
this parameter. Through this approach, we gain a better understanding of the
brane set-ups in ten dimensions involving wrapped NS5-branes. As one
application, using the boundary conformal field theory description of the
electric and magnetic D-branes, we can understand electric-magnetic (Seiberg)
duality in N=1 SQCD microscopically in a string theoretic context.
