  We study the exact construction of D-branes in Lorentzian AdS(3). We start by
defining a family of conformal field theories that gives a natural Euclidean
version of the SL(2,R) CFT and does not correspond to H(3)+, the analytic
continuation of AdS(3). We argue that one can recuperate the exact CFT results
of Lorentzian AdS(3), upon an analytic continuation in the moduli space of
these conformal field theories. Then we construct exact boundary states for
various symmetric and symmetry-breaking D-branes in AdS(3).
