  We present a comprehensive analysis of branes in the Euclidean 2D black hole
(cigar). In particular, exact boundary states and annulus amplitudes are
provided for D0-branes which are localized at the tip of the cigar as well as
for two families of extended D1 and D2-branes. Our results are based on closely
related studies for the Euclidean AdS3 model and, as predicted by the
conjectured duality between the 2D black hole and the sine-Liouville model,
they share many features with branes in Liouville theory. New features arise
here due to the presence of closed string modes which are localized near the
tip of the cigar. The paper concludes with some remarks on possible
applications.
