D-branes in the diagonal SU(2) coset

Abstract

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.

v2: reference added, 9 pages

References in corpus (2)

• Abelian and non-Abelian branes in WZW models and gerbes
• On the geometry of coset branes

Cited by in corpus (2)

• D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model
• Integrable branes in generalized $\lambda$-deformations