Two AdS2 branes in the Euclidean AdS3
  We compute the density of open strings stretching between AdS2 branes in the Euclidean AdS3. This is done by solving the factorization constraint of a degenerate boundary field, and the result is checked by a Cardy-type computation. We mention applications to branes in the Minkowskian AdS3 and its cigar coset. 
S. Ribault (CPHT, Ecole Polytechnique)