D-branes in Lie groups of rank > 1
arXiv:hep-th/0507159 · doi:10.1088/1126-6708/2005/08/062
Abstract
We consider a low-energy effective action for the gauge field on Wess-Zumino-Witten D-branes in a compact simple Lie group, in the limit of large k. We prove that the effective action is bounded from below, and study stability of various D-brane configurations, including some class of non-maximally symmetric ones. We show that for Lie groups of rank higher than one, the D-brane ground state breaks the Kac-Moody symmetry of the boundary theory. We then give arguments hinting that the "fuzzy sphere" D2-brane which is known to be the stable brane configuration in the case of SU(2), may also correspond to the ground state in other compact simple Lie groups.
17 pages. Misplaced sum sign fixed in eq.2, normalization corrected in eq.16, table and text slightly modified accordingly
References in corpus (1)
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