D-branes in the diagonal SU(2) coset

Details D-branes in the diagonal SU(2) coset D-branes in the diagonal SU(2) coset

2005-12-12

arxiv.org/abs/hep-th/0512126v2

JHEP0601:154,2006

Physics

High Energy Physics

High Energy Physics - Theory

v2: reference added, 9 pages

Scientific paper

10.1088/1126-6708/2006/01/154

The symmetry preserving D-branes in coset theories have previously been described as being centered around projections of products of conjugacy classes in the underlying Lie groups. Here, we investigate the coset where a diagonal action of SU(2) is divided out from SU(2)\times SU(2). The corresponding target space is described as a (3-dimensional) pillow with four distinguished corners. It is shown that the (fractional) brane which corresponds to the fixed point that arises in the CFT description, is spacefilling. Moreover, the spacefilling brane is the only one that reaches all of the corners. The other branes are 3, 1 and 0 - dimensional.

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