D-branes in Lie groups of rank > 1

Details D-branes in Lie groups of rank > 1 D-branes in Lie groups of rank > 1

2005-07-15

arxiv.org/abs/hep-th/0507159v2

JHEP 0508 (2005) 062

Physics

High Energy Physics

High Energy Physics - Theory

17 pages. Misplaced sum sign fixed in eq.2, normalization corrected in eq.16, table and text slightly modified accordingly

Scientific paper

10.1088/1126-6708/2005/08/062

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.

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