Classification and Quantum Moduli Space of D-branes in Group Manifolds

We study the classification of D-branes in all compact Lie groups including non-simply-laced ones. We also discuss the global structure of the quantum moduli space of the D-branes. D-branes are classified according to their positions in the maximal torus. We describe rank 2 cases, namely B_2, C_2, G_2, explicitly and construct all the D-branes in B_r, C_r, F_4 by the method of iterative deletion in the Dynkin diagram. The discussion of moduli space involves global issues that can be treated in terms of an exact homotopy sequence and various lattices