Some remarks on D-branes in AdS3

We investigate the relation between the algebraic construction of boundary states in AdS(3) and the target space analysis of D-branes and show the consistency of the two descriptions. We compute, in the semiclassical regime, the overlap of a localized closed string state with boundary states and identify the latter with D-branes wrapping conjugacy classes in AdS(3). The string partition function on the disk is shown to reproduce the spacetime DBI action. Other consistency checks are performed. We also comment on the role of the spectral flow symmetry of the underlying SL(2, R) / U(1) coset model in constructing D-branes that correspond to degenerate representations of SL(2, R).