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

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

2002-07-09

arxiv.org/abs/hep-th/0207077v4

Phys.Lett. B546 (2002) 126-134

Physics

High Energy Physics

High Energy Physics - Theory

latex2e, 13 pages, 3 figures. v4: A reference added. Version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(02)02661-8

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 the exact homotopy sequence and various lattices. We also show that singular D-branes can exist at quantum mechanical level.

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