D-branes in the WZW model
A. Yu. Alekseev, V. Schomerus
Abstract
It is stated in the literature that D-branes in the WZW-model associated with the gluing condition J = - J along the boundary correspond to branes filling out the whole group volume. We show instead that the end-points of open strings are rather bound to stay on `integer' conjugacy classes. In the case of SU(2) level k WZW model we obtain k-1 two dimensional Euclidean D-branes and two D particles sitting at the points e and -e.
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