  We determine all the correlators of the H3+ model on a disc with AdS2-brane
boundary conditions in terms of correlators of Liouville theory on a disc with
FZZT-brane boundary conditions. We argue that the Cardy-Lewellen constraints
are weaker in the H3+ model than in rational conformal field theories due to
extra singularities of the correlators, but strong enough to uniquely determine
the bulk two-point function on a disc. We confirm our results by detailed
analyses of the bulk-boundary two-point function and of the boundary two-point
function. In particular we find that, although the target space symmetry
preserved by AdS2-branes is the group SL(2,R), the open string states between
two distinct parallel AdS2-branes belong to representations of the universal
covering group.
