D-brane charges on non-simply connected groups

Details D-brane charges on non-simply connected groups D-brane charges on non-simply connected groups

2004-02-28

arxiv.org/abs/hep-th/0403011v2

JHEP 0404 (2004) 030

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 1 figure. 2 refs added. Added the observation: the charge group for each su(2) theory equals the centre of correspon

Scientific paper

10.1088/1126-6708/2004/04/030

The maximally symmetric D-branes of string theory on the non-simply connected Lie group SU(n)/Z_d are analysed using conformal field theory methods, and their charges are determined. Unlike the well understood case for simply connected groups, the charge equations do not determine the charges uniquely, and the charge group associated to these D-branes is therefore in general not cyclic. The precise structure of the charge group depends on some number theoretic properties of n, d, and the level of the underlying affine algebra k. The examples of SO(3)=SU(2)/Z_2 and SU(3)/Z_3 are worked out in detail, and the charge groups for SU(n)/Z_d at most levels k are determined explicitly.

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