D-branes in the WZW model - art. no. 061901.

It is stated in the literature that D-branes in the Wess-Zumino-Witten (WZW ) model associated with the gluing condition J= -(J) over bar along the bou ndary correspond to branes filling out the whole group volume. We show inst ead that the end points of open strings are rather bound to stay on ''integ er'' conjugacy classes. In the case of the SU(2) level k WZW model we obtai n k-1 two-dimensional Euclidean D-branes and two D particles sitting at the points e and (-)e. [S0556-2821(99)50116-1].