D-branes in Lie groups of rank > 1
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.
Keywords
Cite
@article{arxiv.hep-th/0507159,
title = {D-branes in Lie groups of rank > 1},
author = {Samuel Monnier},
journal= {arXiv preprint arXiv:hep-th/0507159},
year = {2016}
}
Comments
17 pages. Misplaced sum sign fixed in eq.2, normalization corrected in eq.16, table and text slightly modified accordingly